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Finding the Fourth Proportional to 728,903,174.90, 1,005,914,926.45 and 411,374,512.40

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Solution

The fourth proportional to 728,903,174.90, 1,005,914,926.45 and 411,374,512.40 is: 567,712,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,903,174.90 : 1,005,914,926.45 = 411,374,512.40 : x
  2. Step 2: Convert to fraction form
    728,903,174.90/1,005,914,926.45 = 411,374,512.40/x
  3. Step 3: Cross multiply
    728,903,174.90x = 1,005,914,926.45 × 411,374,512.40
  4. Step 4: Simplify right side
    728,903,174.90x = 413,807,762,384,250,624
  5. Step 5: Solve for x
    x = 413,807,762,384,250,624/728,903,174.90
  6. Step 6: Final answer
    x = 567,712,937.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.