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Finding the Fourth Proportional to 304,527.21, 420,150.92 and 177,178.20

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Solution

The fourth proportional to 304,527.21, 420,150.92 and 177,178.20 is: 244,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,527.21 : 420,150.92 = 177,178.20 : x
  2. Step 2: Convert to fraction form
    304,527.21/420,150.92 = 177,178.20/x
  3. Step 3: Cross multiply
    304,527.21x = 420,150.92 × 177,178.20
  4. Step 4: Simplify right side
    304,527.21x = 74,441,583,733.94
  5. Step 5: Solve for x
    x = 74,441,583,733.94/304,527.21
  6. Step 6: Final answer
    x = 244,449.70

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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.