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Finding the Fourth Proportional to 256,024.65, 384,045.20 and 87,538.17

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Solution

The fourth proportional to 256,024.65, 384,045.20 and 87,538.17 is: 131,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,024.65 : 384,045.20 = 87,538.17 : x
  2. Step 2: Convert to fraction form
    256,024.65/384,045.20 = 87,538.17/x
  3. Step 3: Cross multiply
    256,024.65x = 384,045.20 × 87,538.17
  4. Step 4: Simplify right side
    256,024.65x = 33,618,613,175.78
  5. Step 5: Solve for x
    x = 33,618,613,175.78/256,024.65
  6. Step 6: Final answer
    x = 131,310.06

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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.