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Finding the Fourth Proportional to 308,877.58, 463,615.96 and 149,066

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Solution

The fourth proportional to 308,877.58, 463,615.96 and 149,066 is: 223,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,877.58 : 463,615.96 = 149,066 : x
  2. Step 2: Convert to fraction form
    308,877.58/463,615.96 = 149,066/x
  3. Step 3: Cross multiply
    308,877.58x = 463,615.96 × 149,066
  4. Step 4: Simplify right side
    308,877.58x = 69,109,376,693.36
  5. Step 5: Solve for x
    x = 69,109,376,693.36/308,877.58
  6. Step 6: Final answer
    x = 223,743.58

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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.