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Finding the Fourth Proportional to 417,907.20, 626,955.36 and 137,426.88

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Solution

The fourth proportional to 417,907.20, 626,955.36 and 137,426.88 is: 206,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,907.20 : 626,955.36 = 137,426.88 : x
  2. Step 2: Convert to fraction form
    417,907.20/626,955.36 = 137,426.88/x
  3. Step 3: Cross multiply
    417,907.20x = 626,955.36 × 137,426.88
  4. Step 4: Simplify right side
    417,907.20x = 86,160,519,024.08
  5. Step 5: Solve for x
    x = 86,160,519,024.08/417,907.20
  6. Step 6: Final answer
    x = 206,171.42

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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.