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Finding the Fourth Proportional to 417,470.64, 626,296.72 and 136,977.36

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Solution

The fourth proportional to 417,470.64, 626,296.72 and 136,977.36 is: 205,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,470.64 : 626,296.72 = 136,977.36 : x
  2. Step 2: Convert to fraction form
    417,470.64/626,296.72 = 136,977.36/x
  3. Step 3: Cross multiply
    417,470.64x = 626,296.72 × 136,977.36
  4. Step 4: Simplify right side
    417,470.64x = 85,788,471,282.26
  5. Step 5: Solve for x
    x = 85,788,471,282.26/417,470.64
  6. Step 6: Final answer
    x = 205,495.82

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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.