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Finding the Fourth Proportional to 422,875.28, 634,315.05 and 107,332.29

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Solution

The fourth proportional to 422,875.28, 634,315.05 and 107,332.29 is: 160,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,875.28 : 634,315.05 = 107,332.29 : x
  2. Step 2: Convert to fraction form
    422,875.28/634,315.05 = 107,332.29/x
  3. Step 3: Cross multiply
    422,875.28x = 634,315.05 × 107,332.29
  4. Step 4: Simplify right side
    422,875.28x = 68,082,486,897.96
  5. Step 5: Solve for x
    x = 68,082,486,897.96/422,875.28
  6. Step 6: Final answer
    x = 160,998.97

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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.