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Finding the Fourth Proportional to 538,018.95, 806,839.83 and 158,838.51

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Solution

The fourth proportional to 538,018.95, 806,839.83 and 158,838.51 is: 238,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,018.95 : 806,839.83 = 158,838.51 : x
  2. Step 2: Convert to fraction form
    538,018.95/806,839.83 = 158,838.51/x
  3. Step 3: Cross multiply
    538,018.95x = 806,839.83 × 158,838.51
  4. Step 4: Simplify right side
    538,018.95x = 128,157,236,405.85
  5. Step 5: Solve for x
    x = 128,157,236,405.85/538,018.95
  6. Step 6: Final answer
    x = 238,202.09

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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.