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Finding the Fourth Proportional to 538,268.34, 806,848.40 and 238,889.90

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Solution

The fourth proportional to 538,268.34, 806,848.40 and 238,889.90 is: 358,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,268.34 : 806,848.40 = 238,889.90 : x
  2. Step 2: Convert to fraction form
    538,268.34/806,848.40 = 238,889.90/x
  3. Step 3: Cross multiply
    538,268.34x = 806,848.40 × 238,889.90
  4. Step 4: Simplify right side
    538,268.34x = 192,747,933,591.16
  5. Step 5: Solve for x
    x = 192,747,933,591.16/538,268.34
  6. Step 6: Final answer
    x = 358,088.93

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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.