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Finding the Fourth Proportional to 585,443.96, 807,902.13 and 330,789.68

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Solution

The fourth proportional to 585,443.96, 807,902.13 and 330,789.68 is: 456,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,443.96 : 807,902.13 = 330,789.68 : x
  2. Step 2: Convert to fraction form
    585,443.96/807,902.13 = 330,789.68/x
  3. Step 3: Cross multiply
    585,443.96x = 807,902.13 × 330,789.68
  4. Step 4: Simplify right side
    585,443.96x = 267,245,687,054.02
  5. Step 5: Solve for x
    x = 267,245,687,054.02/585,443.96
  6. Step 6: Final answer
    x = 456,483.81

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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.