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Finding the Fourth Proportional to 527,965.87, 728,607.24 and 298,557.47

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Solution

The fourth proportional to 527,965.87, 728,607.24 and 298,557.47 is: 412,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,965.87 : 728,607.24 = 298,557.47 : x
  2. Step 2: Convert to fraction form
    527,965.87/728,607.24 = 298,557.47/x
  3. Step 3: Cross multiply
    527,965.87x = 728,607.24 × 298,557.47
  4. Step 4: Simplify right side
    527,965.87x = 217,531,134,198.08
  5. Step 5: Solve for x
    x = 217,531,134,198.08/527,965.87
  6. Step 6: Final answer
    x = 412,017.42

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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.