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Finding the Fourth Proportional to 257,473.71, 355,294.13 and 144,274.59

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Solution

The fourth proportional to 257,473.71, 355,294.13 and 144,274.59 is: 199,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,473.71 : 355,294.13 = 144,274.59 : x
  2. Step 2: Convert to fraction form
    257,473.71/355,294.13 = 144,274.59/x
  3. Step 3: Cross multiply
    257,473.71x = 355,294.13 × 144,274.59
  4. Step 4: Simplify right side
    257,473.71x = 51,259,914,213.78
  5. Step 5: Solve for x
    x = 51,259,914,213.78/257,473.71
  6. Step 6: Final answer
    x = 199,087.95

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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.