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Finding the Fourth Proportional to 219,264, 328,948 and 71,520

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Solution

The fourth proportional to 219,264, 328,948 and 71,520 is: 107,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,264 : 328,948 = 71,520 : x
  2. Step 2: Convert to fraction form
    219,264/328,948 = 71,520/x
  3. Step 3: Cross multiply
    219,264x = 328,948 × 71,520
  4. Step 4: Simplify right side
    219,264x = 23,526,360,960
  5. Step 5: Solve for x
    x = 23,526,360,960/219,264
  6. Step 6: Final answer
    x = 107,296.96

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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.