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Finding the Fourth Proportional to 315,332.66, 435,632.99 and 206,694.87

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Solution

The fourth proportional to 315,332.66, 435,632.99 and 206,694.87 is: 285,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,332.66 : 435,632.99 = 206,694.87 : x
  2. Step 2: Convert to fraction form
    315,332.66/435,632.99 = 206,694.87/x
  3. Step 3: Cross multiply
    315,332.66x = 435,632.99 × 206,694.87
  4. Step 4: Simplify right side
    315,332.66x = 90,043,103,202.29
  5. Step 5: Solve for x
    x = 90,043,103,202.29/315,332.66
  6. Step 6: Final answer
    x = 285,549.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.