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Finding the Fourth Proportional to 542,687.30, 748,954.47 and 301,047.72

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Solution

The fourth proportional to 542,687.30, 748,954.47 and 301,047.72 is: 415,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,687.30 : 748,954.47 = 301,047.72 : x
  2. Step 2: Convert to fraction form
    542,687.30/748,954.47 = 301,047.72/x
  3. Step 3: Cross multiply
    542,687.30x = 748,954.47 × 301,047.72
  4. Step 4: Simplify right side
    542,687.30x = 225,471,035,577.31
  5. Step 5: Solve for x
    x = 225,471,035,577.31/542,687.30
  6. Step 6: Final answer
    x = 415,471.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.