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Finding the Fourth Proportional to 402,016.80, 603,025.20 and 192,064.80

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Solution

The fourth proportional to 402,016.80, 603,025.20 and 192,064.80 is: 288,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,016.80 : 603,025.20 = 192,064.80 : x
  2. Step 2: Convert to fraction form
    402,016.80/603,025.20 = 192,064.80/x
  3. Step 3: Cross multiply
    402,016.80x = 603,025.20 × 192,064.80
  4. Step 4: Simplify right side
    402,016.80x = 115,819,914,432.96
  5. Step 5: Solve for x
    x = 115,819,914,432.96/402,016.80
  6. Step 6: Final answer
    x = 288,097.20

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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.