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Finding the Fourth Proportional to 213,598.88, 320,398.34 and 80,509

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Solution

The fourth proportional to 213,598.88, 320,398.34 and 80,509 is: 120,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,598.88 : 320,398.34 = 80,509 : x
  2. Step 2: Convert to fraction form
    213,598.88/320,398.34 = 80,509/x
  3. Step 3: Cross multiply
    213,598.88x = 320,398.34 × 80,509
  4. Step 4: Simplify right side
    213,598.88x = 25,794,949,955.06
  5. Step 5: Solve for x
    x = 25,794,949,955.06/213,598.88
  6. Step 6: Final answer
    x = 120,763.51

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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.