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Finding the Fourth Proportional to 527,763, 728,359.02 and 289,345.08

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Solution

The fourth proportional to 527,763, 728,359.02 and 289,345.08 is: 399,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,763 : 728,359.02 = 289,345.08 : x
  2. Step 2: Convert to fraction form
    527,763/728,359.02 = 289,345.08/x
  3. Step 3: Cross multiply
    527,763x = 728,359.02 × 289,345.08
  4. Step 4: Simplify right side
    527,763x = 210,747,098,910.62
  5. Step 5: Solve for x
    x = 210,747,098,910.62/527,763
  6. Step 6: Final answer
    x = 399,321.47

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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.