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Finding the Fourth Proportional to 315,726.75, 435,723.02 and 179,772.57

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Solution

The fourth proportional to 315,726.75, 435,723.02 and 179,772.57 is: 248,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,726.75 : 435,723.02 = 179,772.57 : x
  2. Step 2: Convert to fraction form
    315,726.75/435,723.02 = 179,772.57/x
  3. Step 3: Cross multiply
    315,726.75x = 435,723.02 × 179,772.57
  4. Step 4: Simplify right side
    315,726.75x = 78,331,047,113.56
  5. Step 5: Solve for x
    x = 78,331,047,113.56/315,726.75
  6. Step 6: Final answer
    x = 248,097.59

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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.