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Finding the Fourth Proportional to 256,490.40, 384,428.40 and 131,767.20

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Solution

The fourth proportional to 256,490.40, 384,428.40 and 131,767.20 is: 197,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,490.40 : 384,428.40 = 131,767.20 : x
  2. Step 2: Convert to fraction form
    256,490.40/384,428.40 = 131,767.20/x
  3. Step 3: Cross multiply
    256,490.40x = 384,428.40 × 131,767.20
  4. Step 4: Simplify right side
    256,490.40x = 50,655,053,868.48
  5. Step 5: Solve for x
    x = 50,655,053,868.48/256,490.40
  6. Step 6: Final answer
    x = 197,492.98

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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.