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Finding the Fourth Proportional to 542,689.30, 748,957.23 and 301,049.72

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Solution

The fourth proportional to 542,689.30, 748,957.23 and 301,049.72 is: 415,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,689.30 : 748,957.23 = 301,049.72 : x
  2. Step 2: Convert to fraction form
    542,689.30/748,957.23 = 301,049.72/x
  3. Step 3: Cross multiply
    542,689.30x = 748,957.23 × 301,049.72
  4. Step 4: Simplify right side
    542,689.30x = 225,473,364,383.48
  5. Step 5: Solve for x
    x = 225,473,364,383.48/542,689.30
  6. Step 6: Final answer
    x = 415,474.13

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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.