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Finding the Fourth Proportional to 345,705.80, 517,753 and 333,732.92

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Solution

The fourth proportional to 345,705.80, 517,753 and 333,732.92 is: 499,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,705.80 : 517,753 = 333,732.92 : x
  2. Step 2: Convert to fraction form
    345,705.80/517,753 = 333,732.92/x
  3. Step 3: Cross multiply
    345,705.80x = 517,753 × 333,732.92
  4. Step 4: Simplify right side
    345,705.80x = 172,791,220,528.76
  5. Step 5: Solve for x
    x = 172,791,220,528.76/345,705.80
  6. Step 6: Final answer
    x = 499,821.58

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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.