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Finding the Fourth Proportional to 351,884.31, 527,819.07 and 85,646.31

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Solution

The fourth proportional to 351,884.31, 527,819.07 and 85,646.31 is: 128,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,884.31 : 527,819.07 = 85,646.31 : x
  2. Step 2: Convert to fraction form
    351,884.31/527,819.07 = 85,646.31/x
  3. Step 3: Cross multiply
    351,884.31x = 527,819.07 × 85,646.31
  4. Step 4: Simplify right side
    351,884.31x = 45,205,755,693.13
  5. Step 5: Solve for x
    x = 45,205,755,693.13/351,884.31
  6. Step 6: Final answer
    x = 128,467.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.