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Finding the Fourth Proportional to 542,374.76, 748,398.34 and 300,657.12

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Solution

The fourth proportional to 542,374.76, 748,398.34 and 300,657.12 is: 414,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,374.76 : 748,398.34 = 300,657.12 : x
  2. Step 2: Convert to fraction form
    542,374.76/748,398.34 = 300,657.12/x
  3. Step 3: Cross multiply
    542,374.76x = 748,398.34 × 300,657.12
  4. Step 4: Simplify right side
    542,374.76x = 225,011,289,517.18
  5. Step 5: Solve for x
    x = 225,011,289,517.18/542,374.76
  6. Step 6: Final answer
    x = 414,863.13

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Double scale
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1.5x scale

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.