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Finding the Fourth Proportional to 280,593.60, 387,123.12 and 159,704.64

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Solution

The fourth proportional to 280,593.60, 387,123.12 and 159,704.64 is: 220,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,593.60 : 387,123.12 = 159,704.64 : x
  2. Step 2: Convert to fraction form
    280,593.60/387,123.12 = 159,704.64/x
  3. Step 3: Cross multiply
    280,593.60x = 387,123.12 × 159,704.64
  4. Step 4: Simplify right side
    280,593.60x = 61,825,358,515.28
  5. Step 5: Solve for x
    x = 61,825,358,515.28/280,593.60
  6. Step 6: Final answer
    x = 220,337.74

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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.