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Finding the Fourth Proportional to 509,366.49, 763,513.83 and 172,087.35

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Solution

The fourth proportional to 509,366.49, 763,513.83 and 172,087.35 is: 257,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,366.49 : 763,513.83 = 172,087.35 : x
  2. Step 2: Convert to fraction form
    509,366.49/763,513.83 = 172,087.35/x
  3. Step 3: Cross multiply
    509,366.49x = 763,513.83 × 172,087.35
  4. Step 4: Simplify right side
    509,366.49x = 131,391,071,693.05
  5. Step 5: Solve for x
    x = 131,391,071,693.05/509,366.49
  6. Step 6: Final answer
    x = 257,949.97

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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.