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Finding the Fourth Proportional to 283,376.50, 391,062.22 and 156,053

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Solution

The fourth proportional to 283,376.50, 391,062.22 and 156,053 is: 215,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,376.50 : 391,062.22 = 156,053 : x
  2. Step 2: Convert to fraction form
    283,376.50/391,062.22 = 156,053/x
  3. Step 3: Cross multiply
    283,376.50x = 391,062.22 × 156,053
  4. Step 4: Simplify right side
    283,376.50x = 61,026,432,617.66
  5. Step 5: Solve for x
    x = 61,026,432,617.66/283,376.50
  6. Step 6: Final answer
    x = 215,354.60

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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.