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Finding the Fourth Proportional to 450,519.78, 621,655.80 and 269,193.42

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Solution

The fourth proportional to 450,519.78, 621,655.80 and 269,193.42 is: 371,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,519.78 : 621,655.80 = 269,193.42 : x
  2. Step 2: Convert to fraction form
    450,519.78/621,655.80 = 269,193.42/x
  3. Step 3: Cross multiply
    450,519.78x = 621,655.80 × 269,193.42
  4. Step 4: Simplify right side
    450,519.78x = 167,345,650,864.84
  5. Step 5: Solve for x
    x = 167,345,650,864.84/450,519.78
  6. Step 6: Final answer
    x = 371,450.17

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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.