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Finding the Fourth Proportional to 219,203.28, 328,819.77 and 77,031.27

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Solution

The fourth proportional to 219,203.28, 328,819.77 and 77,031.27 is: 115,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,203.28 : 328,819.77 = 77,031.27 : x
  2. Step 2: Convert to fraction form
    219,203.28/328,819.77 = 77,031.27/x
  3. Step 3: Cross multiply
    219,203.28x = 328,819.77 × 77,031.27
  4. Step 4: Simplify right side
    219,203.28x = 25,329,404,484.21
  5. Step 5: Solve for x
    x = 25,329,404,484.21/219,203.28
  6. Step 6: Final answer
    x = 115,552.12

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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.