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Finding the Fourth Proportional to 423,702.57, 584,567.25 and 239,916

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Solution

The fourth proportional to 423,702.57, 584,567.25 and 239,916 is: 331,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,702.57 : 584,567.25 = 239,916 : x
  2. Step 2: Convert to fraction form
    423,702.57/584,567.25 = 239,916/x
  3. Step 3: Cross multiply
    423,702.57x = 584,567.25 × 239,916
  4. Step 4: Simplify right side
    423,702.57x = 140,247,036,351
  5. Step 5: Solve for x
    x = 140,247,036,351/423,702.57
  6. Step 6: Final answer
    x = 331,003.51

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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.