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Finding the Fourth Proportional to 276,704.15, 381,852.52 and 160,440.15

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Solution

The fourth proportional to 276,704.15, 381,852.52 and 160,440.15 is: 221,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,704.15 : 381,852.52 = 160,440.15 : x
  2. Step 2: Convert to fraction form
    276,704.15/381,852.52 = 160,440.15/x
  3. Step 3: Cross multiply
    276,704.15x = 381,852.52 × 160,440.15
  4. Step 4: Simplify right side
    276,704.15x = 61,264,475,994.80
  5. Step 5: Solve for x
    x = 61,264,475,994.80/276,704.15
  6. Step 6: Final answer
    x = 221,407.87

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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.