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Finding the Fourth Proportional to 219,691.48, 328,749.90 and 190,211.08

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Solution

The fourth proportional to 219,691.48, 328,749.90 and 190,211.08 is: 284,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,691.48 : 328,749.90 = 190,211.08 : x
  2. Step 2: Convert to fraction form
    219,691.48/328,749.90 = 190,211.08/x
  3. Step 3: Cross multiply
    219,691.48x = 328,749.90 × 190,211.08
  4. Step 4: Simplify right side
    219,691.48x = 62,531,873,528.89
  5. Step 5: Solve for x
    x = 62,531,873,528.89/219,691.48
  6. Step 6: Final answer
    x = 284,634.95

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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.