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Finding the Fourth Proportional to 527,642.23, 728,146.90 and 285,922.69

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Solution

The fourth proportional to 527,642.23, 728,146.90 and 285,922.69 is: 394,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,642.23 : 728,146.90 = 285,922.69 : x
  2. Step 2: Convert to fraction form
    527,642.23/728,146.90 = 285,922.69/x
  3. Step 3: Cross multiply
    527,642.23x = 728,146.90 × 285,922.69
  4. Step 4: Simplify right side
    527,642.23x = 208,193,720,363.16
  5. Step 5: Solve for x
    x = 208,193,720,363.16/527,642.23
  6. Step 6: Final answer
    x = 394,573.65

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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.