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Finding the Fourth Proportional to 539,648.89, 809,332.20 and 160,467.49

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Solution

The fourth proportional to 539,648.89, 809,332.20 and 160,467.49 is: 240,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,648.89 : 809,332.20 = 160,467.49 : x
  2. Step 2: Convert to fraction form
    539,648.89/809,332.20 = 160,467.49/x
  3. Step 3: Cross multiply
    539,648.89x = 809,332.20 × 160,467.49
  4. Step 4: Simplify right side
    539,648.89x = 129,871,506,710.18
  5. Step 5: Solve for x
    x = 129,871,506,710.18/539,648.89
  6. Step 6: Final answer
    x = 240,659.27

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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.