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Finding the Fourth Proportional to 205,603.78, 307,926.66 and 199,928.52

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Solution

The fourth proportional to 205,603.78, 307,926.66 and 199,928.52 is: 299,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,603.78 : 307,926.66 = 199,928.52 : x
  2. Step 2: Convert to fraction form
    205,603.78/307,926.66 = 199,928.52/x
  3. Step 3: Cross multiply
    205,603.78x = 307,926.66 × 199,928.52
  4. Step 4: Simplify right side
    205,603.78x = 61,563,321,402.34
  5. Step 5: Solve for x
    x = 61,563,321,402.34/205,603.78
  6. Step 6: Final answer
    x = 299,426.99

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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.