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Finding the Fourth Proportional to 539,543.20, 809,752.20 and 522,047.20

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Solution

The fourth proportional to 539,543.20, 809,752.20 and 522,047.20 is: 783,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,543.20 : 809,752.20 = 522,047.20 : x
  2. Step 2: Convert to fraction form
    539,543.20/809,752.20 = 522,047.20/x
  3. Step 3: Cross multiply
    539,543.20x = 809,752.20 × 522,047.20
  4. Step 4: Simplify right side
    539,543.20x = 422,728,868,703.84
  5. Step 5: Solve for x
    x = 422,728,868,703.84/539,543.20
  6. Step 6: Final answer
    x = 783,494.02

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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.