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Finding the Fourth Proportional to 308,065.83, 462,151.29 and 137,349.49

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Solution

The fourth proportional to 308,065.83, 462,151.29 and 137,349.49 is: 206,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,065.83 : 462,151.29 = 137,349.49 : x
  2. Step 2: Convert to fraction form
    308,065.83/462,151.29 = 137,349.49/x
  3. Step 3: Cross multiply
    308,065.83x = 462,151.29 × 137,349.49
  4. Step 4: Simplify right side
    308,065.83x = 63,476,243,984.34
  5. Step 5: Solve for x
    x = 63,476,243,984.34/308,065.83
  6. Step 6: Final answer
    x = 206,047.66

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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.