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Finding the Fourth Proportional to 542,214.39, 812,466.11 and 200,187.48

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Solution

The fourth proportional to 542,214.39, 812,466.11 and 200,187.48 is: 299,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,214.39 : 812,466.11 = 200,187.48 : x
  2. Step 2: Convert to fraction form
    542,214.39/812,466.11 = 200,187.48/x
  3. Step 3: Cross multiply
    542,214.39x = 812,466.11 × 200,187.48
  4. Step 4: Simplify right side
    542,214.39x = 162,645,543,146.30
  5. Step 5: Solve for x
    x = 162,645,543,146.30/542,214.39
  6. Step 6: Final answer
    x = 299,965.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.