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Finding the Fourth Proportional to 283,436.42, 391,124.28 and 156,112

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Solution

The fourth proportional to 283,436.42, 391,124.28 and 156,112 is: 215,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,436.42 : 391,124.28 = 156,112 : x
  2. Step 2: Convert to fraction form
    283,436.42/391,124.28 = 156,112/x
  3. Step 3: Cross multiply
    283,436.42x = 391,124.28 × 156,112
  4. Step 4: Simplify right side
    283,436.42x = 61,059,193,599.36
  5. Step 5: Solve for x
    x = 61,059,193,599.36/283,436.42
  6. Step 6: Final answer
    x = 215,424.66

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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.