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Finding the Fourth Proportional to 422,723.61, 634,080.01 and 102,876.03

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Solution

The fourth proportional to 422,723.61, 634,080.01 and 102,876.03 is: 154,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,723.61 : 634,080.01 = 102,876.03 : x
  2. Step 2: Convert to fraction form
    422,723.61/634,080.01 = 102,876.03/x
  3. Step 3: Cross multiply
    422,723.61x = 634,080.01 × 102,876.03
  4. Step 4: Simplify right side
    422,723.61x = 65,231,630,446.38
  5. Step 5: Solve for x
    x = 65,231,630,446.38/422,723.61
  6. Step 6: Final answer
    x = 154,312.72

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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.