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Finding the Fourth Proportional to 402,699.96, 555,732.78 and 221,419.32

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Solution

The fourth proportional to 402,699.96, 555,732.78 and 221,419.32 is: 305,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,699.96 : 555,732.78 = 221,419.32 : x
  2. Step 2: Convert to fraction form
    402,699.96/555,732.78 = 221,419.32/x
  3. Step 3: Cross multiply
    402,699.96x = 555,732.78 × 221,419.32
  4. Step 4: Simplify right side
    402,699.96x = 123,049,974,249.31
  5. Step 5: Solve for x
    x = 123,049,974,249.31/402,699.96
  6. Step 6: Final answer
    x = 305,562.42

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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.