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Finding the Fourth Proportional to 442,861.96, 610,876.74 and 315,578.68

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Solution

The fourth proportional to 442,861.96, 610,876.74 and 315,578.68 is: 435,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,861.96 : 610,876.74 = 315,578.68 : x
  2. Step 2: Convert to fraction form
    442,861.96/610,876.74 = 315,578.68/x
  3. Step 3: Cross multiply
    442,861.96x = 610,876.74 × 315,578.68
  4. Step 4: Simplify right side
    442,861.96x = 192,779,675,251.90
  5. Step 5: Solve for x
    x = 192,779,675,251.90/442,861.96
  6. Step 6: Final answer
    x = 435,304.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.