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Finding the Fourth Proportional to 257,470.77, 355,310.10 and 144,293.52

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Solution

The fourth proportional to 257,470.77, 355,310.10 and 144,293.52 is: 199,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,470.77 : 355,310.10 = 144,293.52 : x
  2. Step 2: Convert to fraction form
    257,470.77/355,310.10 = 144,293.52/x
  3. Step 3: Cross multiply
    257,470.77x = 355,310.10 × 144,293.52
  4. Step 4: Simplify right side
    257,470.77x = 51,268,945,020.55
  5. Step 5: Solve for x
    x = 51,268,945,020.55/257,470.77
  6. Step 6: Final answer
    x = 199,125.30

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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.