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Finding the Fourth Proportional to 422,707.80, 634,148.10 and 142,253.40

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Solution

The fourth proportional to 422,707.80, 634,148.10 and 142,253.40 is: 213,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,707.80 : 634,148.10 = 142,253.40 : x
  2. Step 2: Convert to fraction form
    422,707.80/634,148.10 = 142,253.40/x
  3. Step 3: Cross multiply
    422,707.80x = 634,148.10 × 142,253.40
  4. Step 4: Simplify right side
    422,707.80x = 90,209,723,328.54
  5. Step 5: Solve for x
    x = 90,209,723,328.54/422,707.80
  6. Step 6: Final answer
    x = 213,409.18

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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.