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Finding the Fourth Proportional to 422,327.40, 633,140.70 and 156,037.80

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Solution

The fourth proportional to 422,327.40, 633,140.70 and 156,037.80 is: 233,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,327.40 : 633,140.70 = 156,037.80 : x
  2. Step 2: Convert to fraction form
    422,327.40/633,140.70 = 156,037.80/x
  3. Step 3: Cross multiply
    422,327.40x = 633,140.70 × 156,037.80
  4. Step 4: Simplify right side
    422,327.40x = 98,793,881,918.46
  5. Step 5: Solve for x
    x = 98,793,881,918.46/422,327.40
  6. Step 6: Final answer
    x = 233,927.24

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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.