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Finding the Fourth Proportional to 287,785.62, 431,989.47 and 121,690.26

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Solution

The fourth proportional to 287,785.62, 431,989.47 and 121,690.26 is: 182,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,785.62 : 431,989.47 = 121,690.26 : x
  2. Step 2: Convert to fraction form
    287,785.62/431,989.47 = 121,690.26/x
  3. Step 3: Cross multiply
    287,785.62x = 431,989.47 × 121,690.26
  4. Step 4: Simplify right side
    287,785.62x = 52,568,910,921.56
  5. Step 5: Solve for x
    x = 52,568,910,921.56/287,785.62
  6. Step 6: Final answer
    x = 182,666.91

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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.