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Finding the Fourth Proportional to 380,863.98, 571,201.92 and 156,288.24

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Solution

The fourth proportional to 380,863.98, 571,201.92 and 156,288.24 is: 234,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,863.98 : 571,201.92 = 156,288.24 : x
  2. Step 2: Convert to fraction form
    380,863.98/571,201.92 = 156,288.24/x
  3. Step 3: Cross multiply
    380,863.98x = 571,201.92 × 156,288.24
  4. Step 4: Simplify right side
    380,863.98x = 89,272,142,761.42
  5. Step 5: Solve for x
    x = 89,272,142,761.42/380,863.98
  6. Step 6: Final answer
    x = 234,393.77

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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.