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Finding the Fourth Proportional to 417,817.08, 626,592.66 and 137,269.56

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Solution

The fourth proportional to 417,817.08, 626,592.66 and 137,269.56 is: 205,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,817.08 : 626,592.66 = 137,269.56 : x
  2. Step 2: Convert to fraction form
    417,817.08/626,592.66 = 137,269.56/x
  3. Step 3: Cross multiply
    417,817.08x = 626,592.66 × 137,269.56
  4. Step 4: Simplify right side
    417,817.08x = 86,012,098,737.43
  5. Step 5: Solve for x
    x = 86,012,098,737.43/417,817.08
  6. Step 6: Final answer
    x = 205,860.66

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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.