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Finding the Fourth Proportional to 417,870.90, 626,571 and 133,494.66

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Solution

The fourth proportional to 417,870.90, 626,571 and 133,494.66 is: 200,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,870.90 : 626,571 = 133,494.66 : x
  2. Step 2: Convert to fraction form
    417,870.90/626,571 = 133,494.66/x
  3. Step 3: Cross multiply
    417,870.90x = 626,571 × 133,494.66
  4. Step 4: Simplify right side
    417,870.90x = 83,643,882,610.86
  5. Step 5: Solve for x
    x = 83,643,882,610.86/417,870.90
  6. Step 6: Final answer
    x = 200,166.80

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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.