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Finding the Fourth Proportional to 256,815.70, 385,223.55 and 162,337.30

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Solution

The fourth proportional to 256,815.70, 385,223.55 and 162,337.30 is: 243,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,815.70 : 385,223.55 = 162,337.30 : x
  2. Step 2: Convert to fraction form
    256,815.70/385,223.55 = 162,337.30/x
  3. Step 3: Cross multiply
    256,815.70x = 385,223.55 × 162,337.30
  4. Step 4: Simplify right side
    256,815.70x = 62,536,151,003.42
  5. Step 5: Solve for x
    x = 62,536,151,003.42/256,815.70
  6. Step 6: Final answer
    x = 243,505.95

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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.