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Finding the Fourth Proportional to 313,470.75, 432,722.07 and 211,634.16

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Solution

The fourth proportional to 313,470.75, 432,722.07 and 211,634.16 is: 292,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,470.75 : 432,722.07 = 211,634.16 : x
  2. Step 2: Convert to fraction form
    313,470.75/432,722.07 = 211,634.16/x
  3. Step 3: Cross multiply
    313,470.75x = 432,722.07 × 211,634.16
  4. Step 4: Simplify right side
    313,470.75x = 91,578,772,591.54
  5. Step 5: Solve for x
    x = 91,578,772,591.54/313,470.75
  6. Step 6: Final answer
    x = 292,144.55

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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.