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Finding the Fourth Proportional to 538,884.80, 808,327.20 and 397,167.20

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Solution

The fourth proportional to 538,884.80, 808,327.20 and 397,167.20 is: 595,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,884.80 : 808,327.20 = 397,167.20 : x
  2. Step 2: Convert to fraction form
    538,884.80/808,327.20 = 397,167.20/x
  3. Step 3: Cross multiply
    538,884.80x = 808,327.20 × 397,167.20
  4. Step 4: Simplify right side
    538,884.80x = 321,041,050,707.84
  5. Step 5: Solve for x
    x = 321,041,050,707.84/538,884.80
  6. Step 6: Final answer
    x = 595,750.80

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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.