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Finding the Fourth Proportional to 256,142.68, 353,462.52 and 142,972.72

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Solution

The fourth proportional to 256,142.68, 353,462.52 and 142,972.72 is: 197,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,142.68 : 353,462.52 = 142,972.72 : x
  2. Step 2: Convert to fraction form
    256,142.68/353,462.52 = 142,972.72/x
  3. Step 3: Cross multiply
    256,142.68x = 353,462.52 × 142,972.72
  4. Step 4: Simplify right side
    256,142.68x = 50,535,497,902.45
  5. Step 5: Solve for x
    x = 50,535,497,902.45/256,142.68
  6. Step 6: Final answer
    x = 197,294.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.