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Finding the Fourth Proportional to 287,355.60, 431,033.40 and 100,342.80

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Solution

The fourth proportional to 287,355.60, 431,033.40 and 100,342.80 is: 150,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,355.60 : 431,033.40 = 100,342.80 : x
  2. Step 2: Convert to fraction form
    287,355.60/431,033.40 = 100,342.80/x
  3. Step 3: Cross multiply
    287,355.60x = 431,033.40 × 100,342.80
  4. Step 4: Simplify right side
    287,355.60x = 43,251,098,249.52
  5. Step 5: Solve for x
    x = 43,251,098,249.52/287,355.60
  6. Step 6: Final answer
    x = 150,514.20

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1.5x scale

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.