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Finding the Fourth Proportional to 398,030.52, 597,279.06 and 285,589.56

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Solution

The fourth proportional to 398,030.52, 597,279.06 and 285,589.56 is: 428,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,030.52 : 597,279.06 = 285,589.56 : x
  2. Step 2: Convert to fraction form
    398,030.52/597,279.06 = 285,589.56/x
  3. Step 3: Cross multiply
    398,030.52x = 597,279.06 × 285,589.56
  4. Step 4: Simplify right side
    398,030.52x = 170,576,663,942.61
  5. Step 5: Solve for x
    x = 170,576,663,942.61/398,030.52
  6. Step 6: Final answer
    x = 428,551.72

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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.