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Finding the Fourth Proportional to 261,593,998.80, 392,390,998.20 and 255,925,294.80

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Solution

The fourth proportional to 261,593,998.80, 392,390,998.20 and 255,925,294.80 is: 383,887,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,593,998.80 : 392,390,998.20 = 255,925,294.80 : x
  2. Step 2: Convert to fraction form
    261,593,998.80/392,390,998.20 = 255,925,294.80/x
  3. Step 3: Cross multiply
    261,593,998.80x = 392,390,998.20 × 255,925,294.80
  4. Step 4: Simplify right side
    261,593,998.80x = 100,422,781,891,201,264
  5. Step 5: Solve for x
    x = 100,422,781,891,201,264/261,593,998.80
  6. Step 6: Final answer
    x = 383,887,942.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.