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Finding the Fourth Proportional to 310,009, 465,017.82 and 88,393

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Solution

The fourth proportional to 310,009, 465,017.82 and 88,393 is: 132,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,009 : 465,017.82 = 88,393 : x
  2. Step 2: Convert to fraction form
    310,009/465,017.82 = 88,393/x
  3. Step 3: Cross multiply
    310,009x = 465,017.82 × 88,393
  4. Step 4: Simplify right side
    310,009x = 41,104,320,163.26
  5. Step 5: Solve for x
    x = 41,104,320,163.26/310,009
  6. Step 6: Final answer
    x = 132,590.73

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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.