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Finding the Fourth Proportional to 509,006.97, 763,384.30 and 172,040.15

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Solution

The fourth proportional to 509,006.97, 763,384.30 and 172,040.15 is: 258,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,006.97 : 763,384.30 = 172,040.15 : x
  2. Step 2: Convert to fraction form
    509,006.97/763,384.30 = 172,040.15/x
  3. Step 3: Cross multiply
    509,006.97x = 763,384.30 × 172,040.15
  4. Step 4: Simplify right side
    509,006.97x = 131,332,750,958.01
  5. Step 5: Solve for x
    x = 131,332,750,958.01/509,006.97
  6. Step 6: Final answer
    x = 258,017.59

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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.