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Finding the Fourth Proportional to 417,685.20, 626,522.32 and 102,144.84

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Solution

The fourth proportional to 417,685.20, 626,522.32 and 102,144.84 is: 153,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,685.20 : 626,522.32 = 102,144.84 : x
  2. Step 2: Convert to fraction form
    417,685.20/626,522.32 = 102,144.84/x
  3. Step 3: Cross multiply
    417,685.20x = 626,522.32 × 102,144.84
  4. Step 4: Simplify right side
    417,685.20x = 63,996,022,132.83
  5. Step 5: Solve for x
    x = 63,996,022,132.83/417,685.20
  6. Step 6: Final answer
    x = 153,215.92

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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.