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Finding the Fourth Proportional to 310,011, 465,020.82 and 88,395

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Solution

The fourth proportional to 310,011, 465,020.82 and 88,395 is: 132,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,011 : 465,020.82 = 88,395 : x
  2. Step 2: Convert to fraction form
    310,011/465,020.82 = 88,395/x
  3. Step 3: Cross multiply
    310,011x = 465,020.82 × 88,395
  4. Step 4: Simplify right side
    310,011x = 41,105,515,383.90
  5. Step 5: Solve for x
    x = 41,105,515,383.90/310,011
  6. Step 6: Final answer
    x = 132,593.73

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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.