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Finding the Fourth Proportional to 257,597.71, 385,896.22 and 144,934.40

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Solution

The fourth proportional to 257,597.71, 385,896.22 and 144,934.40 is: 217,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,597.71 : 385,896.22 = 144,934.40 : x
  2. Step 2: Convert to fraction form
    257,597.71/385,896.22 = 144,934.40/x
  3. Step 3: Cross multiply
    257,597.71x = 385,896.22 × 144,934.40
  4. Step 4: Simplify right side
    257,597.71x = 55,929,637,107.97
  5. Step 5: Solve for x
    x = 55,929,637,107.97/257,597.71
  6. Step 6: Final answer
    x = 217,120.09

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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.