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Finding the Fourth Proportional to 354,633.40, 532,338.90 and 221,663.80

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Solution

The fourth proportional to 354,633.40, 532,338.90 and 221,663.80 is: 332,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,633.40 : 532,338.90 = 221,663.80 : x
  2. Step 2: Convert to fraction form
    354,633.40/532,338.90 = 221,663.80/x
  3. Step 3: Cross multiply
    354,633.40x = 532,338.90 × 221,663.80
  4. Step 4: Simplify right side
    354,633.40x = 118,000,263,461.82
  5. Step 5: Solve for x
    x = 118,000,263,461.82/354,633.40
  6. Step 6: Final answer
    x = 332,738.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.