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Finding the Fourth Proportional to 393,279, 589,920.66 and 97,791

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Solution

The fourth proportional to 393,279, 589,920.66 and 97,791 is: 146,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,279 : 589,920.66 = 97,791 : x
  2. Step 2: Convert to fraction form
    393,279/589,920.66 = 97,791/x
  3. Step 3: Cross multiply
    393,279x = 589,920.66 × 97,791
  4. Step 4: Simplify right side
    393,279x = 57,688,931,262.06
  5. Step 5: Solve for x
    x = 57,688,931,262.06/393,279
  6. Step 6: Final answer
    x = 146,687.04

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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.