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Finding the Fourth Proportional to 331,622, 457,641.60 and 180,722.24

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Solution

The fourth proportional to 331,622, 457,641.60 and 180,722.24 is: 249,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,622 : 457,641.60 = 180,722.24 : x
  2. Step 2: Convert to fraction form
    331,622/457,641.60 = 180,722.24/x
  3. Step 3: Cross multiply
    331,622x = 457,641.60 × 180,722.24
  4. Step 4: Simplify right side
    331,622x = 82,706,015,069.18
  5. Step 5: Solve for x
    x = 82,706,015,069.18/331,622
  6. Step 6: Final answer
    x = 249,398.46

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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.