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Finding the Fourth Proportional to 315,358.20, 472,259.70 and 209,604.60

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Solution

The fourth proportional to 315,358.20, 472,259.70 and 209,604.60 is: 313,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,358.20 : 472,259.70 = 209,604.60 : x
  2. Step 2: Convert to fraction form
    315,358.20/472,259.70 = 209,604.60/x
  3. Step 3: Cross multiply
    315,358.20x = 472,259.70 × 209,604.60
  4. Step 4: Simplify right side
    315,358.20x = 98,987,805,514.62
  5. Step 5: Solve for x
    x = 98,987,805,514.62/315,358.20
  6. Step 6: Final answer
    x = 313,890.06

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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.