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Finding the Fourth Proportional to 283,390, 391,073.92 and 156,065.60

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Solution

The fourth proportional to 283,390, 391,073.92 and 156,065.60 is: 215,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,390 : 391,073.92 = 156,065.60 : x
  2. Step 2: Convert to fraction form
    283,390/391,073.92 = 156,065.60/x
  3. Step 3: Cross multiply
    283,390x = 391,073.92 × 156,065.60
  4. Step 4: Simplify right side
    283,390x = 61,033,185,969.15
  5. Step 5: Solve for x
    x = 61,033,185,969.15/283,390
  6. Step 6: Final answer
    x = 215,368.17

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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.