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Finding the Fourth Proportional to 309,986, 464,983.32 and 88,370

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Solution

The fourth proportional to 309,986, 464,983.32 and 88,370 is: 132,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,986 : 464,983.32 = 88,370 : x
  2. Step 2: Convert to fraction form
    309,986/464,983.32 = 88,370/x
  3. Step 3: Cross multiply
    309,986x = 464,983.32 × 88,370
  4. Step 4: Simplify right side
    309,986x = 41,090,575,988.40
  5. Step 5: Solve for x
    x = 41,090,575,988.40/309,986
  6. Step 6: Final answer
    x = 132,556.23

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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.