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Finding the Fourth Proportional to 527,641.49, 728,143.43 and 285,930

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Solution

The fourth proportional to 527,641.49, 728,143.43 and 285,930 is: 394,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,641.49 : 728,143.43 = 285,930 : x
  2. Step 2: Convert to fraction form
    527,641.49/728,143.43 = 285,930/x
  3. Step 3: Cross multiply
    527,641.49x = 728,143.43 × 285,930
  4. Step 4: Simplify right side
    527,641.49x = 208,198,049,510.25
  5. Step 5: Solve for x
    x = 208,198,049,510.25/527,641.49
  6. Step 6: Final answer
    x = 394,582.41

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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.