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Finding the Fourth Proportional to 315,404.70, 472,329.45 and 209,651.10

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Solution

The fourth proportional to 315,404.70, 472,329.45 and 209,651.10 is: 313,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,404.70 : 472,329.45 = 209,651.10 : x
  2. Step 2: Convert to fraction form
    315,404.70/472,329.45 = 209,651.10/x
  3. Step 3: Cross multiply
    315,404.70x = 472,329.45 × 209,651.10
  4. Step 4: Simplify right side
    315,404.70x = 99,024,388,754.90
  5. Step 5: Solve for x
    x = 99,024,388,754.90/315,404.70
  6. Step 6: Final answer
    x = 313,959.78

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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.