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Finding the Fourth Proportional to 308,682.79, 462,708.43 and 208,853.53

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Solution

The fourth proportional to 308,682.79, 462,708.43 and 208,853.53 is: 313,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,682.79 : 462,708.43 = 208,853.53 : x
  2. Step 2: Convert to fraction form
    308,682.79/462,708.43 = 208,853.53/x
  3. Step 3: Cross multiply
    308,682.79x = 462,708.43 × 208,853.53
  4. Step 4: Simplify right side
    308,682.79x = 96,638,288,966.26
  5. Step 5: Solve for x
    x = 96,638,288,966.26/308,682.79
  6. Step 6: Final answer
    x = 313,066.66

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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.