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Finding the Fourth Proportional to 256,442.10, 384,663.15 and 138,344.10

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Solution

The fourth proportional to 256,442.10, 384,663.15 and 138,344.10 is: 207,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,442.10 : 384,663.15 = 138,344.10 : x
  2. Step 2: Convert to fraction form
    256,442.10/384,663.15 = 138,344.10/x
  3. Step 3: Cross multiply
    256,442.10x = 384,663.15 × 138,344.10
  4. Step 4: Simplify right side
    256,442.10x = 53,215,877,289.92
  5. Step 5: Solve for x
    x = 53,215,877,289.92/256,442.10
  6. Step 6: Final answer
    x = 207,516.15

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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.