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Finding the Fourth Proportional to 542,045.81, 748,013.31 and 300,327.50

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Solution

The fourth proportional to 542,045.81, 748,013.31 and 300,327.50 is: 414,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,045.81 : 748,013.31 = 300,327.50 : x
  2. Step 2: Convert to fraction form
    542,045.81/748,013.31 = 300,327.50/x
  3. Step 3: Cross multiply
    542,045.81x = 748,013.31 × 300,327.50
  4. Step 4: Simplify right side
    542,045.81x = 224,648,963,618.96
  5. Step 5: Solve for x
    x = 224,648,963,618.96/542,045.81
  6. Step 6: Final answer
    x = 414,446.46

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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.