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Finding the Fourth Proportional to 309,881.28, 465,018.52 and 132,389.63

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Solution

The fourth proportional to 309,881.28, 465,018.52 and 132,389.63 is: 198,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,881.28 : 465,018.52 = 132,389.63 : x
  2. Step 2: Convert to fraction form
    309,881.28/465,018.52 = 132,389.63/x
  3. Step 3: Cross multiply
    309,881.28x = 465,018.52 × 132,389.63
  4. Step 4: Simplify right side
    309,881.28x = 61,563,629,805.95
  5. Step 5: Solve for x
    x = 61,563,629,805.95/309,881.28
  6. Step 6: Final answer
    x = 198,668.44

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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.