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Finding the Fourth Proportional to 283,972.24, 391,881.72 and 156,648.16

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Solution

The fourth proportional to 283,972.24, 391,881.72 and 156,648.16 is: 216,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,972.24 : 391,881.72 = 156,648.16 : x
  2. Step 2: Convert to fraction form
    283,972.24/391,881.72 = 156,648.16/x
  3. Step 3: Cross multiply
    283,972.24x = 391,881.72 × 156,648.16
  4. Step 4: Simplify right side
    283,972.24x = 61,387,550,375.64
  5. Step 5: Solve for x
    x = 61,387,550,375.64/283,972.24
  6. Step 6: Final answer
    x = 216,174.48

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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.