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Finding the Fourth Proportional to 417,964.28, 626,748.78 and 161,916.78

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Solution

The fourth proportional to 417,964.28, 626,748.78 and 161,916.78 is: 242,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,964.28 : 626,748.78 = 161,916.78 : x
  2. Step 2: Convert to fraction form
    417,964.28/626,748.78 = 161,916.78/x
  3. Step 3: Cross multiply
    417,964.28x = 626,748.78 × 161,916.78
  4. Step 4: Simplify right side
    417,964.28x = 101,481,144,326.53
  5. Step 5: Solve for x
    x = 101,481,144,326.53/417,964.28
  6. Step 6: Final answer
    x = 242,798.61

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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.