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Finding the Fourth Proportional to 542,903.31, 749,181.15 and 301,181.49

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Solution

The fourth proportional to 542,903.31, 749,181.15 and 301,181.49 is: 415,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,903.31 : 749,181.15 = 301,181.49 : x
  2. Step 2: Convert to fraction form
    542,903.31/749,181.15 = 301,181.49/x
  3. Step 3: Cross multiply
    542,903.31x = 749,181.15 × 301,181.49
  4. Step 4: Simplify right side
    542,903.31x = 225,639,495,036.91
  5. Step 5: Solve for x
    x = 225,639,495,036.91/542,903.31
  6. Step 6: Final answer
    x = 415,616.36

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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.