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Finding the Fourth Proportional to 219,178.47, 328,764.06 and 69,418.47

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Solution

The fourth proportional to 219,178.47, 328,764.06 and 69,418.47 is: 104,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,178.47 : 328,764.06 = 69,418.47 : x
  2. Step 2: Convert to fraction form
    219,178.47/328,764.06 = 69,418.47/x
  3. Step 3: Cross multiply
    219,178.47x = 328,764.06 × 69,418.47
  4. Step 4: Simplify right side
    219,178.47x = 22,822,298,036.19
  5. Step 5: Solve for x
    x = 22,822,298,036.19/219,178.47
  6. Step 6: Final answer
    x = 104,126.55

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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.