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Finding the Fourth Proportional to 538,171.80, 806,681.70 and 182,856.60

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Solution

The fourth proportional to 538,171.80, 806,681.70 and 182,856.60 is: 274,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,171.80 : 806,681.70 = 182,856.60 : x
  2. Step 2: Convert to fraction form
    538,171.80/806,681.70 = 182,856.60/x
  3. Step 3: Cross multiply
    538,171.80x = 806,681.70 × 182,856.60
  4. Step 4: Simplify right side
    538,171.80x = 147,507,072,944.22
  5. Step 5: Solve for x
    x = 147,507,072,944.22/538,171.80
  6. Step 6: Final answer
    x = 274,089.19

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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.