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Finding the Fourth Proportional to 527,761, 728,356.26 and 289,343.08

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Solution

The fourth proportional to 527,761, 728,356.26 and 289,343.08 is: 399,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,761 : 728,356.26 = 289,343.08 : x
  2. Step 2: Convert to fraction form
    527,761/728,356.26 = 289,343.08/x
  3. Step 3: Cross multiply
    527,761x = 728,356.26 × 289,343.08
  4. Step 4: Simplify right side
    527,761x = 210,744,843,605.68
  5. Step 5: Solve for x
    x = 210,744,843,605.68/527,761
  6. Step 6: Final answer
    x = 399,318.71

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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.