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Finding the Fourth Proportional to 585,561,691.94, 878,310,207.27 and 428,156,009.28

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Solution

The fourth proportional to 585,561,691.94, 878,310,207.27 and 428,156,009.28 is: 642,210,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,561,691.94 : 878,310,207.27 = 428,156,009.28 : x
  2. Step 2: Convert to fraction form
    585,561,691.94/878,310,207.27 = 428,156,009.28/x
  3. Step 3: Cross multiply
    585,561,691.94x = 878,310,207.27 × 428,156,009.28
  4. Step 4: Simplify right side
    585,561,691.94x = 376,053,793,254,612,800
  5. Step 5: Solve for x
    x = 376,053,793,254,612,800/585,561,691.94
  6. Step 6: Final answer
    x = 642,210,374.13

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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.