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Finding the Fourth Proportional to 305,943.56, 458,397.56 and 187,367.28

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Solution

The fourth proportional to 305,943.56, 458,397.56 and 187,367.28 is: 280,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,943.56 : 458,397.56 = 187,367.28 : x
  2. Step 2: Convert to fraction form
    305,943.56/458,397.56 = 187,367.28/x
  3. Step 3: Cross multiply
    305,943.56x = 458,397.56 × 187,367.28
  4. Step 4: Simplify right side
    305,943.56x = 85,888,703,975.84
  5. Step 5: Solve for x
    x = 85,888,703,975.84/305,943.56
  6. Step 6: Final answer
    x = 280,733.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.