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Finding the Fourth Proportional to 261,575.76, 392,264.05 and 154,989.80

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Solution

The fourth proportional to 261,575.76, 392,264.05 and 154,989.80 is: 232,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,575.76 : 392,264.05 = 154,989.80 : x
  2. Step 2: Convert to fraction form
    261,575.76/392,264.05 = 154,989.80/x
  3. Step 3: Cross multiply
    261,575.76x = 392,264.05 × 154,989.80
  4. Step 4: Simplify right side
    261,575.76x = 60,796,926,656.69
  5. Step 5: Solve for x
    x = 60,796,926,656.69/261,575.76
  6. Step 6: Final answer
    x = 232,425.69

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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.