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Finding the Fourth Proportional to 283,352, 391,025.76 and 156,027.32

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Solution

The fourth proportional to 283,352, 391,025.76 and 156,027.32 is: 215,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,352 : 391,025.76 = 156,027.32 : x
  2. Step 2: Convert to fraction form
    283,352/391,025.76 = 156,027.32/x
  3. Step 3: Cross multiply
    283,352x = 391,025.76 × 156,027.32
  4. Step 4: Simplify right side
    283,352x = 61,010,701,383.76
  5. Step 5: Solve for x
    x = 61,010,701,383.76/283,352
  6. Step 6: Final answer
    x = 215,317.70

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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.