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Finding the Fourth Proportional to 422,809.10, 634,116.58 and 252,079.12

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Solution

The fourth proportional to 422,809.10, 634,116.58 and 252,079.12 is: 378,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,809.10 : 634,116.58 = 252,079.12 : x
  2. Step 2: Convert to fraction form
    422,809.10/634,116.58 = 252,079.12/x
  3. Step 3: Cross multiply
    422,809.10x = 634,116.58 × 252,079.12
  4. Step 4: Simplify right side
    422,809.10x = 159,847,549,463.81
  5. Step 5: Solve for x
    x = 159,847,549,463.81/422,809.10
  6. Step 6: Final answer
    x = 378,060.81

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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.