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Finding the Fourth Proportional to 527,793.62, 728,351.10 and 286,069.95

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Solution

The fourth proportional to 527,793.62, 728,351.10 and 286,069.95 is: 394,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,793.62 : 728,351.10 = 286,069.95 : x
  2. Step 2: Convert to fraction form
    527,793.62/728,351.10 = 286,069.95/x
  3. Step 3: Cross multiply
    527,793.62x = 728,351.10 × 286,069.95
  4. Step 4: Simplify right side
    527,793.62x = 208,359,362,759.45
  5. Step 5: Solve for x
    x = 208,359,362,759.45/527,793.62
  6. Step 6: Final answer
    x = 394,774.31

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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.