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Finding the Fourth Proportional to 657,086,972.90, 985,566,404.55 and 172,412,780.90

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Solution

The fourth proportional to 657,086,972.90, 985,566,404.55 and 172,412,780.90 is: 258,602,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,086,972.90 : 985,566,404.55 = 172,412,780.90 : x
  2. Step 2: Convert to fraction form
    657,086,972.90/985,566,404.55 = 172,412,780.90/x
  3. Step 3: Cross multiply
    657,086,972.90x = 985,566,404.55 × 172,412,780.90
  4. Step 4: Simplify right side
    657,086,972.90x = 169,924,244,570,079,904
  5. Step 5: Solve for x
    x = 169,924,244,570,079,904/657,086,972.90
  6. Step 6: Final answer
    x = 258,602,364.04

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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.