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Finding the Fourth Proportional to 326,801.70, 488,890.35 and 282,915.90

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Solution

The fourth proportional to 326,801.70, 488,890.35 and 282,915.90 is: 423,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,801.70 : 488,890.35 = 282,915.90 : x
  2. Step 2: Convert to fraction form
    326,801.70/488,890.35 = 282,915.90/x
  3. Step 3: Cross multiply
    326,801.70x = 488,890.35 × 282,915.90
  4. Step 4: Simplify right side
    326,801.70x = 138,314,853,371.57
  5. Step 5: Solve for x
    x = 138,314,853,371.57/326,801.70
  6. Step 6: Final answer
    x = 423,237.86

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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.