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Finding the Fourth Proportional to 224,574.68, 309,944.25 and 129,079.32

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Solution

The fourth proportional to 224,574.68, 309,944.25 and 129,079.32 is: 178,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,574.68 : 309,944.25 = 129,079.32 : x
  2. Step 2: Convert to fraction form
    224,574.68/309,944.25 = 129,079.32/x
  3. Step 3: Cross multiply
    224,574.68x = 309,944.25 × 129,079.32
  4. Step 4: Simplify right side
    224,574.68x = 40,007,393,027.91
  5. Step 5: Solve for x
    x = 40,007,393,027.91/224,574.68
  6. Step 6: Final answer
    x = 178,147.39

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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.