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Finding the Fourth Proportional to 316,955,227.20, 475,432,840.80 and 288,737,678.40

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Solution

The fourth proportional to 316,955,227.20, 475,432,840.80 and 288,737,678.40 is: 433,106,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,955,227.20 : 475,432,840.80 = 288,737,678.40 : x
  2. Step 2: Convert to fraction form
    316,955,227.20/475,432,840.80 = 288,737,678.40/x
  3. Step 3: Cross multiply
    316,955,227.20x = 475,432,840.80 × 288,737,678.40
  4. Step 4: Simplify right side
    316,955,227.20x = 137,275,374,687,708,784
  5. Step 5: Solve for x
    x = 137,275,374,687,708,784/316,955,227.20
  6. Step 6: Final answer
    x = 433,106,517.60

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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.