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Finding the Fourth Proportional to 256,835.40, 385,253.64 and 138,562.44

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Solution

The fourth proportional to 256,835.40, 385,253.64 and 138,562.44 is: 207,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,835.40 : 385,253.64 = 138,562.44 : x
  2. Step 2: Convert to fraction form
    256,835.40/385,253.64 = 138,562.44/x
  3. Step 3: Cross multiply
    256,835.40x = 385,253.64 × 138,562.44
  4. Step 4: Simplify right side
    256,835.40x = 53,381,684,377.28
  5. Step 5: Solve for x
    x = 53,381,684,377.28/256,835.40
  6. Step 6: Final answer
    x = 207,843.95

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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.