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Finding the Fourth Proportional to 262,016.40, 361,216.50 and 221,567.88

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Solution

The fourth proportional to 262,016.40, 361,216.50 and 221,567.88 is: 305,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,016.40 : 361,216.50 = 221,567.88 : x
  2. Step 2: Convert to fraction form
    262,016.40/361,216.50 = 221,567.88/x
  3. Step 3: Cross multiply
    262,016.40x = 361,216.50 × 221,567.88
  4. Step 4: Simplify right side
    262,016.40x = 80,033,974,126.02
  5. Step 5: Solve for x
    x = 80,033,974,126.02/262,016.40
  6. Step 6: Final answer
    x = 305,454.06

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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.