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Finding the Fourth Proportional to 509,007.97, 763,385.80 and 172,041.15

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Solution

The fourth proportional to 509,007.97, 763,385.80 and 172,041.15 is: 258,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,007.97 : 763,385.80 = 172,041.15 : x
  2. Step 2: Convert to fraction form
    509,007.97/763,385.80 = 172,041.15/x
  3. Step 3: Cross multiply
    509,007.97x = 763,385.80 × 172,041.15
  4. Step 4: Simplify right side
    509,007.97x = 131,333,770,925.67
  5. Step 5: Solve for x
    x = 131,333,770,925.67/509,007.97
  6. Step 6: Final answer
    x = 258,019.09

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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.