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Finding the Fourth Proportional to 380,753.28, 571,158.24 and 114,492.48

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Solution

The fourth proportional to 380,753.28, 571,158.24 and 114,492.48 is: 171,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,753.28 : 571,158.24 = 114,492.48 : x
  2. Step 2: Convert to fraction form
    380,753.28/571,158.24 = 114,492.48/x
  3. Step 3: Cross multiply
    380,753.28x = 571,158.24 × 114,492.48
  4. Step 4: Simplify right side
    380,753.28x = 65,393,323,370.04
  5. Step 5: Solve for x
    x = 65,393,323,370.04/380,753.28
  6. Step 6: Final answer
    x = 171,747.24

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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.