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Finding the Fourth Proportional to 538,786, 808,211.40 and 164,812.24

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Solution

The fourth proportional to 538,786, 808,211.40 and 164,812.24 is: 247,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,786 : 808,211.40 = 164,812.24 : x
  2. Step 2: Convert to fraction form
    538,786/808,211.40 = 164,812.24/x
  3. Step 3: Cross multiply
    538,786x = 808,211.40 × 164,812.24
  4. Step 4: Simplify right side
    538,786x = 133,203,131,227.54
  5. Step 5: Solve for x
    x = 133,203,131,227.54/538,786
  6. Step 6: Final answer
    x = 247,228.27

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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.