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Finding the Fourth Proportional to 283,731.48, 391,545.16 and 156,404.32

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Solution

The fourth proportional to 283,731.48, 391,545.16 and 156,404.32 is: 215,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,731.48 : 391,545.16 = 156,404.32 : x
  2. Step 2: Convert to fraction form
    283,731.48/391,545.16 = 156,404.32/x
  3. Step 3: Cross multiply
    283,731.48x = 391,545.16 × 156,404.32
  4. Step 4: Simplify right side
    283,731.48x = 61,239,354,499.09
  5. Step 5: Solve for x
    x = 61,239,354,499.09/283,731.48
  6. Step 6: Final answer
    x = 215,835.60

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1.5x scale

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.