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Finding the Fourth Proportional to 287,521.52, 396,782.37 and 158,464.71

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Solution

The fourth proportional to 287,521.52, 396,782.37 and 158,464.71 is: 218,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,521.52 : 396,782.37 = 158,464.71 : x
  2. Step 2: Convert to fraction form
    287,521.52/396,782.37 = 158,464.71/x
  3. Step 3: Cross multiply
    287,521.52x = 396,782.37 × 158,464.71
  4. Step 4: Simplify right side
    287,521.52x = 62,876,003,195.16
  5. Step 5: Solve for x
    x = 62,876,003,195.16/287,521.52
  6. Step 6: Final answer
    x = 218,682.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.