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Finding the Fourth Proportional to 589,332, 813,278.16 and 321,060

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Solution

The fourth proportional to 589,332, 813,278.16 and 321,060 is: 443,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,332 : 813,278.16 = 321,060 : x
  2. Step 2: Convert to fraction form
    589,332/813,278.16 = 321,060/x
  3. Step 3: Cross multiply
    589,332x = 813,278.16 × 321,060
  4. Step 4: Simplify right side
    589,332x = 261,111,086,049.60
  5. Step 5: Solve for x
    x = 261,111,086,049.60/589,332
  6. Step 6: Final answer
    x = 443,062.80

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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.