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Finding the Fourth Proportional to 387,105.75, 534,206.34 and 217,340.28

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Solution

The fourth proportional to 387,105.75, 534,206.34 and 217,340.28 is: 299,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,105.75 : 534,206.34 = 217,340.28 : x
  2. Step 2: Convert to fraction form
    387,105.75/534,206.34 = 217,340.28/x
  3. Step 3: Cross multiply
    387,105.75x = 534,206.34 × 217,340.28
  4. Step 4: Simplify right side
    387,105.75x = 116,104,555,513.38
  5. Step 5: Solve for x
    x = 116,104,555,513.38/387,105.75
  6. Step 6: Final answer
    x = 299,929.81

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1.5x scale

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.