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Finding the Fourth Proportional to 542,473.70, 748,462.15 and 427,395.12

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Solution

The fourth proportional to 542,473.70, 748,462.15 and 427,395.12 is: 589,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,473.70 : 748,462.15 = 427,395.12 : x
  2. Step 2: Convert to fraction form
    542,473.70/748,462.15 = 427,395.12/x
  3. Step 3: Cross multiply
    542,473.70x = 748,462.15 × 427,395.12
  4. Step 4: Simplify right side
    542,473.70x = 319,889,073,255.32
  5. Step 5: Solve for x
    x = 319,889,073,255.32/542,473.70
  6. Step 6: Final answer
    x = 589,685.87

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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.