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Finding the Fourth Proportional to 417,688.41, 626,634.68 and 133,379.03

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Solution

The fourth proportional to 417,688.41, 626,634.68 and 133,379.03 is: 200,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,688.41 : 626,634.68 = 133,379.03 : x
  2. Step 2: Convert to fraction form
    417,688.41/626,634.68 = 133,379.03/x
  3. Step 3: Cross multiply
    417,688.41x = 626,634.68 × 133,379.03
  4. Step 4: Simplify right side
    417,688.41x = 83,579,921,982.69
  5. Step 5: Solve for x
    x = 83,579,921,982.69/417,688.41
  6. Step 6: Final answer
    x = 200,101.13

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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.