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Finding the Fourth Proportional to 402,912.74, 556,033.20 and 221,631.50

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Solution

The fourth proportional to 402,912.74, 556,033.20 and 221,631.50 is: 305,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,912.74 : 556,033.20 = 221,631.50 : x
  2. Step 2: Convert to fraction form
    402,912.74/556,033.20 = 221,631.50/x
  3. Step 3: Cross multiply
    402,912.74x = 556,033.20 × 221,631.50
  4. Step 4: Simplify right side
    402,912.74x = 123,234,472,165.80
  5. Step 5: Solve for x
    x = 123,234,472,165.80/402,912.74
  6. Step 6: Final answer
    x = 305,858.96

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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.