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Finding the Fourth Proportional to 585,270.85, 807,739.32 and 330,638.44

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Solution

The fourth proportional to 585,270.85, 807,739.32 and 330,638.44 is: 456,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,270.85 : 807,739.32 = 330,638.44 : x
  2. Step 2: Convert to fraction form
    585,270.85/807,739.32 = 330,638.44/x
  3. Step 3: Cross multiply
    585,270.85x = 807,739.32 × 330,638.44
  4. Step 4: Simplify right side
    585,270.85x = 267,069,668,691.46
  5. Step 5: Solve for x
    x = 267,069,668,691.46/585,270.85
  6. Step 6: Final answer
    x = 456,318.08

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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.