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Finding the Fourth Proportional to 457,760.32, 631,774.61 and 253,856.59

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Solution

The fourth proportional to 457,760.32, 631,774.61 and 253,856.59 is: 350,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,760.32 : 631,774.61 = 253,856.59 : x
  2. Step 2: Convert to fraction form
    457,760.32/631,774.61 = 253,856.59/x
  3. Step 3: Cross multiply
    457,760.32x = 631,774.61 × 253,856.59
  4. Step 4: Simplify right side
    457,760.32x = 160,380,148,143.18
  5. Step 5: Solve for x
    x = 160,380,148,143.18/457,760.32
  6. Step 6: Final answer
    x = 350,358.35

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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.