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Finding the Fourth Proportional to 438,414.19, 655,721.53 and 258,069.81

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Solution

The fourth proportional to 438,414.19, 655,721.53 and 258,069.81 is: 385,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,414.19 : 655,721.53 = 258,069.81 : x
  2. Step 2: Convert to fraction form
    438,414.19/655,721.53 = 258,069.81/x
  3. Step 3: Cross multiply
    438,414.19x = 655,721.53 × 258,069.81
  4. Step 4: Simplify right side
    438,414.19x = 169,221,932,473.79
  5. Step 5: Solve for x
    x = 169,221,932,473.79/438,414.19
  6. Step 6: Final answer
    x = 385,986.44

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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.