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Finding the Fourth Proportional to 538,643.54, 807,963.95 and 159,593.78

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Solution

The fourth proportional to 538,643.54, 807,963.95 and 159,593.78 is: 239,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,643.54 : 807,963.95 = 159,593.78 : x
  2. Step 2: Convert to fraction form
    538,643.54/807,963.95 = 159,593.78/x
  3. Step 3: Cross multiply
    538,643.54x = 807,963.95 × 159,593.78
  4. Step 4: Simplify right side
    538,643.54x = 128,946,017,243.40
  5. Step 5: Solve for x
    x = 128,946,017,243.40/538,643.54
  6. Step 6: Final answer
    x = 239,390.26

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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.