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Finding the Fourth Proportional to 262,013.40, 361,212.36 and 221,564.88

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Solution

The fourth proportional to 262,013.40, 361,212.36 and 221,564.88 is: 305,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,013.40 : 361,212.36 = 221,564.88 : x
  2. Step 2: Convert to fraction form
    262,013.40/361,212.36 = 221,564.88/x
  3. Step 3: Cross multiply
    262,013.40x = 361,212.36 × 221,564.88
  4. Step 4: Simplify right side
    262,013.40x = 80,031,973,197.92
  5. Step 5: Solve for x
    x = 80,031,973,197.92/262,013.40
  6. Step 6: Final answer
    x = 305,449.92

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1.5x scale

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.