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Finding the Fourth Proportional to 219,542.85, 329,314.28 and 86,350.32

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Solution

The fourth proportional to 219,542.85, 329,314.28 and 86,350.32 is: 129,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,542.85 : 329,314.28 = 86,350.32 : x
  2. Step 2: Convert to fraction form
    219,542.85/329,314.28 = 86,350.32/x
  3. Step 3: Cross multiply
    219,542.85x = 329,314.28 × 86,350.32
  4. Step 4: Simplify right side
    219,542.85x = 28,436,393,026.82
  5. Step 5: Solve for x
    x = 28,436,393,026.82/219,542.85
  6. Step 6: Final answer
    x = 129,525.48

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1.5x scale

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.