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Finding the Fourth Proportional to 254,286.40, 381,602.40 and 141,966.40

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Solution

The fourth proportional to 254,286.40, 381,602.40 and 141,966.40 is: 213,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,286.40 : 381,602.40 = 141,966.40 : x
  2. Step 2: Convert to fraction form
    254,286.40/381,602.40 = 141,966.40/x
  3. Step 3: Cross multiply
    254,286.40x = 381,602.40 × 141,966.40
  4. Step 4: Simplify right side
    254,286.40x = 54,174,718,959.36
  5. Step 5: Solve for x
    x = 54,174,718,959.36/254,286.40
  6. Step 6: Final answer
    x = 213,046.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.