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Finding the Fourth Proportional to 261,446.28, 360,795.84 and 142,214.28

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Solution

The fourth proportional to 261,446.28, 360,795.84 and 142,214.28 is: 196,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,446.28 : 360,795.84 = 142,214.28 : x
  2. Step 2: Convert to fraction form
    261,446.28/360,795.84 = 142,214.28/x
  3. Step 3: Cross multiply
    261,446.28x = 360,795.84 × 142,214.28
  4. Step 4: Simplify right side
    261,446.28x = 51,310,320,612.60
  5. Step 5: Solve for x
    x = 51,310,320,612.60/261,446.28
  6. Step 6: Final answer
    x = 196,255.69

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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.