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Finding the Fourth Proportional to 538,282.28, 807,581.31 and 159,213

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Solution

The fourth proportional to 538,282.28, 807,581.31 and 159,213 is: 238,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,282.28 : 807,581.31 = 159,213 : x
  2. Step 2: Convert to fraction form
    538,282.28/807,581.31 = 159,213/x
  3. Step 3: Cross multiply
    538,282.28x = 807,581.31 × 159,213
  4. Step 4: Simplify right side
    538,282.28x = 128,577,443,109.03
  5. Step 5: Solve for x
    x = 128,577,443,109.03/538,282.28
  6. Step 6: Final answer
    x = 238,866.20

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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.