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Finding the Fourth Proportional to 578,002.40, 867,003.60 and 311,625.80

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Solution

The fourth proportional to 578,002.40, 867,003.60 and 311,625.80 is: 467,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,002.40 : 867,003.60 = 311,625.80 : x
  2. Step 2: Convert to fraction form
    578,002.40/867,003.60 = 311,625.80/x
  3. Step 3: Cross multiply
    578,002.40x = 867,003.60 × 311,625.80
  4. Step 4: Simplify right side
    578,002.40x = 270,180,690,452.88
  5. Step 5: Solve for x
    x = 270,180,690,452.88/578,002.40
  6. Step 6: Final answer
    x = 467,438.70

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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.