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Finding the Fourth Proportional to 393,234.48, 589,254.12 and 288,123.12

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Solution

The fourth proportional to 393,234.48, 589,254.12 and 288,123.12 is: 431,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,234.48 : 589,254.12 = 288,123.12 : x
  2. Step 2: Convert to fraction form
    393,234.48/589,254.12 = 288,123.12/x
  3. Step 3: Cross multiply
    393,234.48x = 589,254.12 × 288,123.12
  4. Step 4: Simplify right side
    393,234.48x = 169,777,735,527.25
  5. Step 5: Solve for x
    x = 169,777,735,527.25/393,234.48
  6. Step 6: Final answer
    x = 431,746.82

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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.