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Finding the Fourth Proportional to 219,032.44, 328,584.20 and 85,840.49

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Solution

The fourth proportional to 219,032.44, 328,584.20 and 85,840.49 is: 128,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,032.44 : 328,584.20 = 85,840.49 : x
  2. Step 2: Convert to fraction form
    219,032.44/328,584.20 = 85,840.49/x
  3. Step 3: Cross multiply
    219,032.44x = 328,584.20 × 85,840.49
  4. Step 4: Simplify right side
    219,032.44x = 28,205,829,126.52
  5. Step 5: Solve for x
    x = 28,205,829,126.52/219,032.44
  6. Step 6: Final answer
    x = 128,774.67

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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.