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Finding the Fourth Proportional to 257,585.92, 355,476 and 144,410.56

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Solution

The fourth proportional to 257,585.92, 355,476 and 144,410.56 is: 199,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,585.92 : 355,476 = 144,410.56 : x
  2. Step 2: Convert to fraction form
    257,585.92/355,476 = 144,410.56/x
  3. Step 3: Cross multiply
    257,585.92x = 355,476 × 144,410.56
  4. Step 4: Simplify right side
    257,585.92x = 51,334,488,226.56
  5. Step 5: Solve for x
    x = 51,334,488,226.56/257,585.92
  6. Step 6: Final answer
    x = 199,290.74

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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.