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Finding the Fourth Proportional to 539,647.92, 809,398.10 and 160,627.15

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Solution

The fourth proportional to 539,647.92, 809,398.10 and 160,627.15 is: 240,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,647.92 : 809,398.10 = 160,627.15 : x
  2. Step 2: Convert to fraction form
    539,647.92/809,398.10 = 160,627.15/x
  3. Step 3: Cross multiply
    539,647.92x = 809,398.10 × 160,627.15
  4. Step 4: Simplify right side
    539,647.92x = 130,011,311,431.73
  5. Step 5: Solve for x
    x = 130,011,311,431.73/539,647.92
  6. Step 6: Final answer
    x = 240,918.77

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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.