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Finding the Fourth Proportional to 417,428.38, 626,244.47 and 133,118.93

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Solution

The fourth proportional to 417,428.38, 626,244.47 and 133,118.93 is: 199,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,428.38 : 626,244.47 = 133,118.93 : x
  2. Step 2: Convert to fraction form
    417,428.38/626,244.47 = 133,118.93/x
  3. Step 3: Cross multiply
    417,428.38x = 626,244.47 × 133,118.93
  4. Step 4: Simplify right side
    417,428.38x = 83,364,993,764.82
  5. Step 5: Solve for x
    x = 83,364,993,764.82/417,428.38
  6. Step 6: Final answer
    x = 199,710.89

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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.