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Finding the Fourth Proportional to 417,838.40, 626,858.40 and 137,340.80

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Solution

The fourth proportional to 417,838.40, 626,858.40 and 137,340.80 is: 206,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,838.40 : 626,858.40 = 137,340.80 : x
  2. Step 2: Convert to fraction form
    417,838.40/626,858.40 = 137,340.80/x
  3. Step 3: Cross multiply
    417,838.40x = 626,858.40 × 137,340.80
  4. Step 4: Simplify right side
    417,838.40x = 86,093,234,142.72
  5. Step 5: Solve for x
    x = 86,093,234,142.72/417,838.40
  6. Step 6: Final answer
    x = 206,044.33

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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.