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Finding the Fourth Proportional to 304,842.65, 420,708.70 and 168,919.24

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Solution

The fourth proportional to 304,842.65, 420,708.70 and 168,919.24 is: 233,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,842.65 : 420,708.70 = 168,919.24 : x
  2. Step 2: Convert to fraction form
    304,842.65/420,708.70 = 168,919.24/x
  3. Step 3: Cross multiply
    304,842.65x = 420,708.70 × 168,919.24
  4. Step 4: Simplify right side
    304,842.65x = 71,065,791,761.84
  5. Step 5: Solve for x
    x = 71,065,791,761.84/304,842.65
  6. Step 6: Final answer
    x = 233,122.86

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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.