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Finding the Fourth Proportional to 422,934.40, 634,328.70 and 156,557.80

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Solution

The fourth proportional to 422,934.40, 634,328.70 and 156,557.80 is: 234,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,934.40 : 634,328.70 = 156,557.80 : x
  2. Step 2: Convert to fraction form
    422,934.40/634,328.70 = 156,557.80/x
  3. Step 3: Cross multiply
    422,934.40x = 634,328.70 × 156,557.80
  4. Step 4: Simplify right side
    422,934.40x = 99,309,105,748.86
  5. Step 5: Solve for x
    x = 99,309,105,748.86/422,934.40
  6. Step 6: Final answer
    x = 234,809.71

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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.