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Finding the Fourth Proportional to 538,638, 807,989.40 and 164,664.24

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Solution

The fourth proportional to 538,638, 807,989.40 and 164,664.24 is: 247,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,638 : 807,989.40 = 164,664.24 : x
  2. Step 2: Convert to fraction form
    538,638/807,989.40 = 164,664.24/x
  3. Step 3: Cross multiply
    538,638x = 807,989.40 × 164,664.24
  4. Step 4: Simplify right side
    538,638x = 133,046,960,479.06
  5. Step 5: Solve for x
    x = 133,046,960,479.06/538,638
  6. Step 6: Final answer
    x = 247,006.26

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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.