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Finding the Fourth Proportional to 276,822.62, 382,015.22 and 149,498.22

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Solution

The fourth proportional to 276,822.62, 382,015.22 and 149,498.22 is: 206,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,822.62 : 382,015.22 = 149,498.22 : x
  2. Step 2: Convert to fraction form
    276,822.62/382,015.22 = 149,498.22/x
  3. Step 3: Cross multiply
    276,822.62x = 382,015.22 × 149,498.22
  4. Step 4: Simplify right side
    276,822.62x = 57,110,594,655.42
  5. Step 5: Solve for x
    x = 57,110,594,655.42/276,822.62
  6. Step 6: Final answer
    x = 206,307.55

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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.