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Finding the Fourth Proportional to 542,353.12, 748,368.72 and 300,635.64

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Solution

The fourth proportional to 542,353.12, 748,368.72 and 300,635.64 is: 414,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,353.12 : 748,368.72 = 300,635.64 : x
  2. Step 2: Convert to fraction form
    542,353.12/748,368.72 = 300,635.64/x
  3. Step 3: Cross multiply
    542,353.12x = 748,368.72 × 300,635.64
  4. Step 4: Simplify right side
    542,353.12x = 224,986,309,093.18
  5. Step 5: Solve for x
    x = 224,986,309,093.18/542,353.12
  6. Step 6: Final answer
    x = 414,833.62

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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.