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Finding the Fourth Proportional to 701,358.40, 1,051,648.80 and 280,158.40

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Solution

The fourth proportional to 701,358.40, 1,051,648.80 and 280,158.40 is: 420,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,358.40 : 1,051,648.80 = 280,158.40 : x
  2. Step 2: Convert to fraction form
    701,358.40/1,051,648.80 = 280,158.40/x
  3. Step 3: Cross multiply
    701,358.40x = 1,051,648.80 × 280,158.40
  4. Step 4: Simplify right side
    701,358.40x = 294,628,245,169.92
  5. Step 5: Solve for x
    x = 294,628,245,169.92/701,358.40
  6. Step 6: Final answer
    x = 420,082.29

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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.