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Finding the Fourth Proportional to 542,205.90, 748,242.90 and 297,196.56

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Solution

The fourth proportional to 542,205.90, 748,242.90 and 297,196.56 is: 410,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,205.90 : 748,242.90 = 297,196.56 : x
  2. Step 2: Convert to fraction form
    542,205.90/748,242.90 = 297,196.56/x
  3. Step 3: Cross multiply
    542,205.90x = 748,242.90 × 297,196.56
  4. Step 4: Simplify right side
    542,205.90x = 222,375,215,924.42
  5. Step 5: Solve for x
    x = 222,375,215,924.42/542,205.90
  6. Step 6: Final answer
    x = 410,130.57

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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.