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Finding the Fourth Proportional to 542,850.40, 814,151.64 and 205,928.47

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Solution

The fourth proportional to 542,850.40, 814,151.64 and 205,928.47 is: 308,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,850.40 : 814,151.64 = 205,928.47 : x
  2. Step 2: Convert to fraction form
    542,850.40/814,151.64 = 205,928.47/x
  3. Step 3: Cross multiply
    542,850.40x = 814,151.64 × 205,928.47
  4. Step 4: Simplify right side
    542,850.40x = 167,657,001,573.19
  5. Step 5: Solve for x
    x = 167,657,001,573.19/542,850.40
  6. Step 6: Final answer
    x = 308,845.68

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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.