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Finding the Fourth Proportional to 542,289.48, 748,188.36 and 312,815.88

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Solution

The fourth proportional to 542,289.48, 748,188.36 and 312,815.88 is: 431,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,289.48 : 748,188.36 = 312,815.88 : x
  2. Step 2: Convert to fraction form
    542,289.48/748,188.36 = 312,815.88/x
  3. Step 3: Cross multiply
    542,289.48x = 748,188.36 × 312,815.88
  4. Step 4: Simplify right side
    542,289.48x = 234,045,200,239.16
  5. Step 5: Solve for x
    x = 234,045,200,239.16/542,289.48
  6. Step 6: Final answer
    x = 431,587.20

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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.