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Finding the Fourth Proportional to 218,818.84, 301,970.82 and 138,282.16

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Solution

The fourth proportional to 218,818.84, 301,970.82 and 138,282.16 is: 190,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,818.84 : 301,970.82 = 138,282.16 : x
  2. Step 2: Convert to fraction form
    218,818.84/301,970.82 = 138,282.16/x
  3. Step 3: Cross multiply
    218,818.84x = 301,970.82 × 138,282.16
  4. Step 4: Simplify right side
    218,818.84x = 41,757,177,246.57
  5. Step 5: Solve for x
    x = 41,757,177,246.57/218,818.84
  6. Step 6: Final answer
    x = 190,829.90

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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.