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Finding the Fourth Proportional to 527,418.96, 727,839 and 312,664.56

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Solution

The fourth proportional to 527,418.96, 727,839 and 312,664.56 is: 431,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,418.96 : 727,839 = 312,664.56 : x
  2. Step 2: Convert to fraction form
    527,418.96/727,839 = 312,664.56/x
  3. Step 3: Cross multiply
    527,418.96x = 727,839 × 312,664.56
  4. Step 4: Simplify right side
    527,418.96x = 227,569,460,685.84
  5. Step 5: Solve for x
    x = 227,569,460,685.84/527,418.96
  6. Step 6: Final answer
    x = 431,477.59

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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.