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Finding the Fourth Proportional to 427,310,437.20, 640,965,655.80 and 398,644,990.80

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Solution

The fourth proportional to 427,310,437.20, 640,965,655.80 and 398,644,990.80 is: 597,967,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,310,437.20 : 640,965,655.80 = 398,644,990.80 : x
  2. Step 2: Convert to fraction form
    427,310,437.20/640,965,655.80 = 398,644,990.80/x
  3. Step 3: Cross multiply
    427,310,437.20x = 640,965,655.80 × 398,644,990.80
  4. Step 4: Simplify right side
    427,310,437.20x = 255,517,747,959,506,944
  5. Step 5: Solve for x
    x = 255,517,747,959,506,944/427,310,437.20
  6. Step 6: Final answer
    x = 597,967,486.20

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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.