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Finding the Fourth Proportional to 397,002.60, 595,503.90 and 339,921.90

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Solution

The fourth proportional to 397,002.60, 595,503.90 and 339,921.90 is: 509,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,002.60 : 595,503.90 = 339,921.90 : x
  2. Step 2: Convert to fraction form
    397,002.60/595,503.90 = 339,921.90/x
  3. Step 3: Cross multiply
    397,002.60x = 595,503.90 × 339,921.90
  4. Step 4: Simplify right side
    397,002.60x = 202,424,817,145.41
  5. Step 5: Solve for x
    x = 202,424,817,145.41/397,002.60
  6. Step 6: Final answer
    x = 509,882.85

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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.