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Finding the Fourth Proportional to 260,449, 359,465.69 and 153,019

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Solution

The fourth proportional to 260,449, 359,465.69 and 153,019 is: 211,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,449 : 359,465.69 = 153,019 : x
  2. Step 2: Convert to fraction form
    260,449/359,465.69 = 153,019/x
  3. Step 3: Cross multiply
    260,449x = 359,465.69 × 153,019
  4. Step 4: Simplify right side
    260,449x = 55,005,080,418.11
  5. Step 5: Solve for x
    x = 55,005,080,418.11/260,449
  6. Step 6: Final answer
    x = 211,193.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.