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Finding the Fourth Proportional to 256,442.78, 384,543.38 and 149,857.52

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Solution

The fourth proportional to 256,442.78, 384,543.38 and 149,857.52 is: 224,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,442.78 : 384,543.38 = 149,857.52 : x
  2. Step 2: Convert to fraction form
    256,442.78/384,543.38 = 149,857.52/x
  3. Step 3: Cross multiply
    256,442.78x = 384,543.38 × 149,857.52
  4. Step 4: Simplify right side
    256,442.78x = 57,626,714,587.21
  5. Step 5: Solve for x
    x = 57,626,714,587.21/256,442.78
  6. Step 6: Final answer
    x = 224,715.69

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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.