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Finding the Fourth Proportional to 257,304.74, 354,637.22 and 171,109.65

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Solution

The fourth proportional to 257,304.74, 354,637.22 and 171,109.65 is: 235,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,304.74 : 354,637.22 = 171,109.65 : x
  2. Step 2: Convert to fraction form
    257,304.74/354,637.22 = 171,109.65/x
  3. Step 3: Cross multiply
    257,304.74x = 354,637.22 × 171,109.65
  4. Step 4: Simplify right side
    257,304.74x = 60,681,852,028.01
  5. Step 5: Solve for x
    x = 60,681,852,028.01/257,304.74
  6. Step 6: Final answer
    x = 235,836.52

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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.