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Finding the Fourth Proportional to 527,822.26, 728,404.05 and 286,112.86

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Solution

The fourth proportional to 527,822.26, 728,404.05 and 286,112.86 is: 394,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,822.26 : 728,404.05 = 286,112.86 : x
  2. Step 2: Convert to fraction form
    527,822.26/728,404.05 = 286,112.86/x
  3. Step 3: Cross multiply
    527,822.26x = 728,404.05 × 286,112.86
  4. Step 4: Simplify right side
    527,822.26x = 208,405,765,981.08
  5. Step 5: Solve for x
    x = 208,405,765,981.08/527,822.26
  6. Step 6: Final answer
    x = 394,840.80

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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.