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Finding the Fourth Proportional to 527,749.78, 789,756 and 328,164.16

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Solution

The fourth proportional to 527,749.78, 789,756 and 328,164.16 is: 491,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,749.78 : 789,756 = 328,164.16 : x
  2. Step 2: Convert to fraction form
    527,749.78/789,756 = 328,164.16/x
  3. Step 3: Cross multiply
    527,749.78x = 789,756 × 328,164.16
  4. Step 4: Simplify right side
    527,749.78x = 259,169,614,344.96
  5. Step 5: Solve for x
    x = 259,169,614,344.96/527,749.78
  6. Step 6: Final answer
    x = 491,084.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.