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Finding the Fourth Proportional to 284,231.20, 425,527.60 and 173,639.20

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Solution

The fourth proportional to 284,231.20, 425,527.60 and 173,639.20 is: 259,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,231.20 : 425,527.60 = 173,639.20 : x
  2. Step 2: Convert to fraction form
    284,231.20/425,527.60 = 173,639.20/x
  3. Step 3: Cross multiply
    284,231.20x = 425,527.60 × 173,639.20
  4. Step 4: Simplify right side
    284,231.20x = 73,888,272,041.92
  5. Step 5: Solve for x
    x = 73,888,272,041.92/284,231.20
  6. Step 6: Final answer
    x = 259,958.34

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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.