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Finding the Fourth Proportional to 542,221.38, 748,290.75 and 300,504

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Solution

The fourth proportional to 542,221.38, 748,290.75 and 300,504 is: 414,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,221.38 : 748,290.75 = 300,504 : x
  2. Step 2: Convert to fraction form
    542,221.38/748,290.75 = 300,504/x
  3. Step 3: Cross multiply
    542,221.38x = 748,290.75 × 300,504
  4. Step 4: Simplify right side
    542,221.38x = 224,864,363,538
  5. Step 5: Solve for x
    x = 224,864,363,538/542,221.38
  6. Step 6: Final answer
    x = 414,709.51

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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.