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Finding the Fourth Proportional to 522,338.85, 785,279.75 and 417,067.61

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Solution

The fourth proportional to 522,338.85, 785,279.75 and 417,067.61 is: 627,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,338.85 : 785,279.75 = 417,067.61 : x
  2. Step 2: Convert to fraction form
    522,338.85/785,279.75 = 417,067.61/x
  3. Step 3: Cross multiply
    522,338.85x = 785,279.75 × 417,067.61
  4. Step 4: Simplify right side
    522,338.85x = 327,514,742,502.16
  5. Step 5: Solve for x
    x = 327,514,742,502.16/522,338.85
  6. Step 6: Final answer
    x = 627,015.86

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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.