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Finding the Fourth Proportional to 308,378.51, 462,742.73 and 121,521.23

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Solution

The fourth proportional to 308,378.51, 462,742.73 and 121,521.23 is: 182,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,378.51 : 462,742.73 = 121,521.23 : x
  2. Step 2: Convert to fraction form
    308,378.51/462,742.73 = 121,521.23/x
  3. Step 3: Cross multiply
    308,378.51x = 462,742.73 × 121,521.23
  4. Step 4: Simplify right side
    308,378.51x = 56,233,065,723.16
  5. Step 5: Solve for x
    x = 56,233,065,723.16/308,378.51
  6. Step 6: Final answer
    x = 182,350.79

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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.