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Finding the Fourth Proportional to 308,686.80, 462,998.88 and 209,484.48

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Solution

The fourth proportional to 308,686.80, 462,998.88 and 209,484.48 is: 314,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,686.80 : 462,998.88 = 209,484.48 : x
  2. Step 2: Convert to fraction form
    308,686.80/462,998.88 = 209,484.48/x
  3. Step 3: Cross multiply
    308,686.80x = 462,998.88 × 209,484.48
  4. Step 4: Simplify right side
    308,686.80x = 96,991,079,617.38
  5. Step 5: Solve for x
    x = 96,991,079,617.38/308,686.80
  6. Step 6: Final answer
    x = 314,205.47

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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.