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Finding the Fourth Proportional to 256,534.74, 384,452.19 and 156,729.78

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Solution

The fourth proportional to 256,534.74, 384,452.19 and 156,729.78 is: 234,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,534.74 : 384,452.19 = 156,729.78 : x
  2. Step 2: Convert to fraction form
    256,534.74/384,452.19 = 156,729.78/x
  3. Step 3: Cross multiply
    256,534.74x = 384,452.19 × 156,729.78
  4. Step 4: Simplify right side
    256,534.74x = 60,255,107,159.22
  5. Step 5: Solve for x
    x = 60,255,107,159.22/256,534.74
  6. Step 6: Final answer
    x = 234,880.89

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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.