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Finding the Fourth Proportional to 513,123.60, 769,612.92 and 176,158.32

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Solution

The fourth proportional to 513,123.60, 769,612.92 and 176,158.32 is: 264,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,123.60 : 769,612.92 = 176,158.32 : x
  2. Step 2: Convert to fraction form
    513,123.60/769,612.92 = 176,158.32/x
  3. Step 3: Cross multiply
    513,123.60x = 769,612.92 × 176,158.32
  4. Step 4: Simplify right side
    513,123.60x = 135,573,719,037.49
  5. Step 5: Solve for x
    x = 135,573,719,037.49/513,123.60
  6. Step 6: Final answer
    x = 264,212.60

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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.