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Finding the Fourth Proportional to 340,091.10, 510,655.05 and 200,123.10

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Solution

The fourth proportional to 340,091.10, 510,655.05 and 200,123.10 is: 300,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,091.10 : 510,655.05 = 200,123.10 : x
  2. Step 2: Convert to fraction form
    340,091.10/510,655.05 = 200,123.10/x
  3. Step 3: Cross multiply
    340,091.10x = 510,655.05 × 200,123.10
  4. Step 4: Simplify right side
    340,091.10x = 102,193,871,636.66
  5. Step 5: Solve for x
    x = 102,193,871,636.66/340,091.10
  6. Step 6: Final answer
    x = 300,489.70

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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.