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Finding the Fourth Proportional to 393,472.46, 542,924.29 and 221,366.50

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Solution

The fourth proportional to 393,472.46, 542,924.29 and 221,366.50 is: 305,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,472.46 : 542,924.29 = 221,366.50 : x
  2. Step 2: Convert to fraction form
    393,472.46/542,924.29 = 221,366.50/x
  3. Step 3: Cross multiply
    393,472.46x = 542,924.29 × 221,366.50
  4. Step 4: Simplify right side
    393,472.46x = 120,185,249,842.29
  5. Step 5: Solve for x
    x = 120,185,249,842.29/393,472.46
  6. Step 6: Final answer
    x = 305,447.68

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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.