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Finding the Fourth Proportional to 417,903.23, 626,944.86 and 129,708.88

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Solution

The fourth proportional to 417,903.23, 626,944.86 and 129,708.88 is: 194,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,903.23 : 626,944.86 = 129,708.88 : x
  2. Step 2: Convert to fraction form
    417,903.23/626,944.86 = 129,708.88/x
  3. Step 3: Cross multiply
    417,903.23x = 626,944.86 × 129,708.88
  4. Step 4: Simplify right side
    417,903.23x = 81,320,314,044.99
  5. Step 5: Solve for x
    x = 81,320,314,044.99/417,903.23
  6. Step 6: Final answer
    x = 194,591.25

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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.