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Finding the Fourth Proportional to 490,695.60, 736,043.40 and 280,743.60

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Solution

The fourth proportional to 490,695.60, 736,043.40 and 280,743.60 is: 421,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,695.60 : 736,043.40 = 280,743.60 : x
  2. Step 2: Convert to fraction form
    490,695.60/736,043.40 = 280,743.60/x
  3. Step 3: Cross multiply
    490,695.60x = 736,043.40 × 280,743.60
  4. Step 4: Simplify right side
    490,695.60x = 206,639,473,872.24
  5. Step 5: Solve for x
    x = 206,639,473,872.24/490,695.60
  6. Step 6: Final answer
    x = 421,115.40

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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.