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Finding the Fourth Proportional to 809,806, 1,215,445.68 and 431,045.16

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Solution

The fourth proportional to 809,806, 1,215,445.68 and 431,045.16 is: 646,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,806 : 1,215,445.68 = 431,045.16 : x
  2. Step 2: Convert to fraction form
    809,806/1,215,445.68 = 431,045.16/x
  3. Step 3: Cross multiply
    809,806x = 1,215,445.68 × 431,045.16
  4. Step 4: Simplify right side
    809,806x = 523,911,977,606.91
  5. Step 5: Solve for x
    x = 523,911,977,606.91/809,806
  6. Step 6: Final answer
    x = 646,959.86

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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.