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Finding the Fourth Proportional to 650,178.60, 974,961.72 and 422,105.28

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Solution

The fourth proportional to 650,178.60, 974,961.72 and 422,105.28 is: 632,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,178.60 : 974,961.72 = 422,105.28 : x
  2. Step 2: Convert to fraction form
    650,178.60/974,961.72 = 422,105.28/x
  3. Step 3: Cross multiply
    650,178.60x = 974,961.72 × 422,105.28
  4. Step 4: Simplify right side
    650,178.60x = 411,536,489,809.88
  5. Step 5: Solve for x
    x = 411,536,489,809.88/650,178.60
  6. Step 6: Final answer
    x = 632,959.14

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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.