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Finding the Fourth Proportional to 542,242.45, 748,294.64 and 300,540.61

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Solution

The fourth proportional to 542,242.45, 748,294.64 and 300,540.61 is: 414,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,242.45 : 748,294.64 = 300,540.61 : x
  2. Step 2: Convert to fraction form
    542,242.45/748,294.64 = 300,540.61/x
  3. Step 3: Cross multiply
    542,242.45x = 748,294.64 × 300,540.61
  4. Step 4: Simplify right side
    542,242.45x = 224,892,927,565.33
  5. Step 5: Solve for x
    x = 224,892,927,565.33/542,242.45
  6. Step 6: Final answer
    x = 414,746.07

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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.