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Finding the Fourth Proportional to 219,064.38, 328,654.79 and 69,307.34

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Solution

The fourth proportional to 219,064.38, 328,654.79 and 69,307.34 is: 103,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,064.38 : 328,654.79 = 69,307.34 : x
  2. Step 2: Convert to fraction form
    219,064.38/328,654.79 = 69,307.34/x
  3. Step 3: Cross multiply
    219,064.38x = 328,654.79 × 69,307.34
  4. Step 4: Simplify right side
    219,064.38x = 22,778,187,283.35
  5. Step 5: Solve for x
    x = 22,778,187,283.35/219,064.38
  6. Step 6: Final answer
    x = 103,979.42

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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.