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Finding the Fourth Proportional to 402,474.42, 555,425.64 and 221,188.50

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Solution

The fourth proportional to 402,474.42, 555,425.64 and 221,188.50 is: 305,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,474.42 : 555,425.64 = 221,188.50 : x
  2. Step 2: Convert to fraction form
    402,474.42/555,425.64 = 221,188.50/x
  3. Step 3: Cross multiply
    402,474.42x = 555,425.64 × 221,188.50
  4. Step 4: Simplify right side
    402,474.42x = 122,853,764,173.14
  5. Step 5: Solve for x
    x = 122,853,764,173.14/402,474.42
  6. Step 6: Final answer
    x = 305,246.14

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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.