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Finding the Fourth Proportional to 538,023.20, 804,961.20 and 351,399.20

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Solution

The fourth proportional to 538,023.20, 804,961.20 and 351,399.20 is: 525,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,023.20 : 804,961.20 = 351,399.20 : x
  2. Step 2: Convert to fraction form
    538,023.20/804,961.20 = 351,399.20/x
  3. Step 3: Cross multiply
    538,023.20x = 804,961.20 × 351,399.20
  4. Step 4: Simplify right side
    538,023.20x = 282,862,721,711.04
  5. Step 5: Solve for x
    x = 282,862,721,711.04/538,023.20
  6. Step 6: Final answer
    x = 525,744.47

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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.