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Finding the Fourth Proportional to 538,476.77, 807,723.58 and 159,435.95

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Solution

The fourth proportional to 538,476.77, 807,723.58 and 159,435.95 is: 239,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,476.77 : 807,723.58 = 159,435.95 : x
  2. Step 2: Convert to fraction form
    538,476.77/807,723.58 = 159,435.95/x
  3. Step 3: Cross multiply
    538,476.77x = 807,723.58 × 159,435.95
  4. Step 4: Simplify right side
    538,476.77x = 128,780,176,719.88
  5. Step 5: Solve for x
    x = 128,780,176,719.88/538,476.77
  6. Step 6: Final answer
    x = 239,156.42

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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.