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Finding the Fourth Proportional to 257,275.88, 355,051.72 and 149,828.56

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Solution

The fourth proportional to 257,275.88, 355,051.72 and 149,828.56 is: 206,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,275.88 : 355,051.72 = 149,828.56 : x
  2. Step 2: Convert to fraction form
    257,275.88/355,051.72 = 149,828.56/x
  3. Step 3: Cross multiply
    257,275.88x = 355,051.72 × 149,828.56
  4. Step 4: Simplify right side
    257,275.88x = 53,196,887,933.12
  5. Step 5: Solve for x
    x = 53,196,887,933.12/257,275.88
  6. Step 6: Final answer
    x = 206,769.82

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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.