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Finding the Fourth Proportional to 417,472.65, 626,172.53 and 136,989.90

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Solution

The fourth proportional to 417,472.65, 626,172.53 and 136,989.90 is: 205,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,472.65 : 626,172.53 = 136,989.90 : x
  2. Step 2: Convert to fraction form
    417,472.65/626,172.53 = 136,989.90/x
  3. Step 3: Cross multiply
    417,472.65x = 626,172.53 × 136,989.90
  4. Step 4: Simplify right side
    417,472.65x = 85,779,311,582.50
  5. Step 5: Solve for x
    x = 85,779,311,582.50/417,472.65
  6. Step 6: Final answer
    x = 205,472.89

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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.