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Finding the Fourth Proportional to 276,902.60, 382,125.36 and 149,578.16

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Solution

The fourth proportional to 276,902.60, 382,125.36 and 149,578.16 is: 206,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,902.60 : 382,125.36 = 149,578.16 : x
  2. Step 2: Convert to fraction form
    276,902.60/382,125.36 = 149,578.16/x
  3. Step 3: Cross multiply
    276,902.60x = 382,125.36 × 149,578.16
  4. Step 4: Simplify right side
    276,902.60x = 57,157,608,238.14
  5. Step 5: Solve for x
    x = 57,157,608,238.14/276,902.60
  6. Step 6: Final answer
    x = 206,417.74

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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.