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Finding the Fourth Proportional to 315,338.70, 472,230.45 and 209,585.10

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Solution

The fourth proportional to 315,338.70, 472,230.45 and 209,585.10 is: 313,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,338.70 : 472,230.45 = 209,585.10 : x
  2. Step 2: Convert to fraction form
    315,338.70/472,230.45 = 209,585.10/x
  3. Step 3: Cross multiply
    315,338.70x = 472,230.45 × 209,585.10
  4. Step 4: Simplify right side
    315,338.70x = 98,972,466,086.30
  5. Step 5: Solve for x
    x = 98,972,466,086.30/315,338.70
  6. Step 6: Final answer
    x = 313,860.83

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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.