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Finding the Fourth Proportional to 466,640, 643,963.20 and 254,672

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Solution

The fourth proportional to 466,640, 643,963.20 and 254,672 is: 351,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,640 : 643,963.20 = 254,672 : x
  2. Step 2: Convert to fraction form
    466,640/643,963.20 = 254,672/x
  3. Step 3: Cross multiply
    466,640x = 643,963.20 × 254,672
  4. Step 4: Simplify right side
    466,640x = 163,999,396,070.40
  5. Step 5: Solve for x
    x = 163,999,396,070.40/466,640
  6. Step 6: Final answer
    x = 351,447.36

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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.