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Finding the Fourth Proportional to 287,785.01, 397,145.96 and 158,728.52

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Solution

The fourth proportional to 287,785.01, 397,145.96 and 158,728.52 is: 219,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,785.01 : 397,145.96 = 158,728.52 : x
  2. Step 2: Convert to fraction form
    287,785.01/397,145.96 = 158,728.52/x
  3. Step 3: Cross multiply
    287,785.01x = 397,145.96 × 158,728.52
  4. Step 4: Simplify right side
    287,785.01x = 63,038,387,675.41
  5. Step 5: Solve for x
    x = 63,038,387,675.41/287,785.01
  6. Step 6: Final answer
    x = 219,046.81

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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.