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Finding the Fourth Proportional to 555,434.28, 832,978.80 and 200,402.10

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Solution

The fourth proportional to 555,434.28, 832,978.80 and 200,402.10 is: 300,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,434.28 : 832,978.80 = 200,402.10 : x
  2. Step 2: Convert to fraction form
    555,434.28/832,978.80 = 200,402.10/x
  3. Step 3: Cross multiply
    555,434.28x = 832,978.80 × 200,402.10
  4. Step 4: Simplify right side
    555,434.28x = 166,930,700,775.48
  5. Step 5: Solve for x
    x = 166,930,700,775.48/555,434.28
  6. Step 6: Final answer
    x = 300,540.87

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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.