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Finding the Fourth Proportional to 539,979.80, 809,969.70 and 398,262.20

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Solution

The fourth proportional to 539,979.80, 809,969.70 and 398,262.20 is: 597,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,979.80 : 809,969.70 = 398,262.20 : x
  2. Step 2: Convert to fraction form
    539,979.80/809,969.70 = 398,262.20/x
  3. Step 3: Cross multiply
    539,979.80x = 809,969.70 × 398,262.20
  4. Step 4: Simplify right side
    539,979.80x = 322,580,314,655.34
  5. Step 5: Solve for x
    x = 322,580,314,655.34/539,979.80
  6. Step 6: Final answer
    x = 597,393.30

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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.