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Finding the Fourth Proportional to 542,536.16, 748,692.16 and 300,819.20

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Solution

The fourth proportional to 542,536.16, 748,692.16 and 300,819.20 is: 415,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,536.16 : 748,692.16 = 300,819.20 : x
  2. Step 2: Convert to fraction form
    542,536.16/748,692.16 = 300,819.20/x
  3. Step 3: Cross multiply
    542,536.16x = 748,692.16 × 300,819.20
  4. Step 4: Simplify right side
    542,536.16x = 225,220,976,617.47
  5. Step 5: Solve for x
    x = 225,220,976,617.47/542,536.16
  6. Step 6: Final answer
    x = 415,126.20

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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.