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Finding the Fourth Proportional to 402,839.20, 603,529.80 and 192,012.40

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Solution

The fourth proportional to 402,839.20, 603,529.80 and 192,012.40 is: 287,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,839.20 : 603,529.80 = 192,012.40 : x
  2. Step 2: Convert to fraction form
    402,839.20/603,529.80 = 192,012.40/x
  3. Step 3: Cross multiply
    402,839.20x = 603,529.80 × 192,012.40
  4. Step 4: Simplify right side
    402,839.20x = 115,885,205,369.52
  5. Step 5: Solve for x
    x = 115,885,205,369.52/402,839.20
  6. Step 6: Final answer
    x = 287,671.12

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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.