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Finding the Fourth Proportional to 291,575.30, 402,375.78 and 162,521.96

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Solution

The fourth proportional to 291,575.30, 402,375.78 and 162,521.96 is: 224,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,575.30 : 402,375.78 = 162,521.96 : x
  2. Step 2: Convert to fraction form
    291,575.30/402,375.78 = 162,521.96/x
  3. Step 3: Cross multiply
    291,575.30x = 402,375.78 × 162,521.96
  4. Step 4: Simplify right side
    291,575.30x = 65,394,898,966.46
  5. Step 5: Solve for x
    x = 65,394,898,966.46/291,575.30
  6. Step 6: Final answer
    x = 224,281.34

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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.