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Finding the Fourth Proportional to 332,026.74, 497,978.55 and 142,520.76

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Solution

The fourth proportional to 332,026.74, 497,978.55 and 142,520.76 is: 213,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,026.74 : 497,978.55 = 142,520.76 : x
  2. Step 2: Convert to fraction form
    332,026.74/497,978.55 = 142,520.76/x
  3. Step 3: Cross multiply
    332,026.74x = 497,978.55 × 142,520.76
  4. Step 4: Simplify right side
    332,026.74x = 70,972,281,409.70
  5. Step 5: Solve for x
    x = 70,972,281,409.70/332,026.74
  6. Step 6: Final answer
    x = 213,754.72

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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.