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Finding the Fourth Proportional to 219,258, 328,897.80 and 71,514

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Solution

The fourth proportional to 219,258, 328,897.80 and 71,514 is: 107,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,258 : 328,897.80 = 71,514 : x
  2. Step 2: Convert to fraction form
    219,258/328,897.80 = 71,514/x
  3. Step 3: Cross multiply
    219,258x = 328,897.80 × 71,514
  4. Step 4: Simplify right side
    219,258x = 23,520,797,269.20
  5. Step 5: Solve for x
    x = 23,520,797,269.20/219,258
  6. Step 6: Final answer
    x = 107,274.52

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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.