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Finding the Fourth Proportional to 539,635.76, 809,312.58 and 160,454.37

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Solution

The fourth proportional to 539,635.76, 809,312.58 and 160,454.37 is: 240,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,635.76 : 809,312.58 = 160,454.37 : x
  2. Step 2: Convert to fraction form
    539,635.76/809,312.58 = 160,454.37/x
  3. Step 3: Cross multiply
    539,635.76x = 809,312.58 × 160,454.37
  4. Step 4: Simplify right side
    539,635.76x = 129,857,743,191.90
  5. Step 5: Solve for x
    x = 129,857,743,191.90/539,635.76
  6. Step 6: Final answer
    x = 240,639.62

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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.