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Finding the Fourth Proportional to 487,770.53, 731,662.00 and 172,006.00

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Solution

The fourth proportional to 487,770.53, 731,662.00 and 172,006.00 is: 258,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,770.53 : 731,662.00 = 172,006.00 : x
  2. Step 2: Convert to fraction form
    487,770.53/731,662.00 = 172,006.00/x
  3. Step 3: Cross multiply
    487,770.53x = 731,662.00 × 172,006.00
  4. Step 4: Simplify right side
    487,770.53x = 125,850,251,712.83
  5. Step 5: Solve for x
    x = 125,850,251,712.83/487,770.53
  6. Step 6: Final answer
    x = 258,011.19

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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.