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Finding the Fourth Proportional to 261,877.70, 361,382.10 and 160,074.20

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Solution

The fourth proportional to 261,877.70, 361,382.10 and 160,074.20 is: 220,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,877.70 : 361,382.10 = 160,074.20 : x
  2. Step 2: Convert to fraction form
    261,877.70/361,382.10 = 160,074.20/x
  3. Step 3: Cross multiply
    261,877.70x = 361,382.10 × 160,074.20
  4. Step 4: Simplify right side
    261,877.70x = 57,847,950,551.82
  5. Step 5: Solve for x
    x = 57,847,950,551.82/261,877.70
  6. Step 6: Final answer
    x = 220,896.82

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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.