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Finding the Fourth Proportional to 299,677.08, 413,905.42 and 238,627.64

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Solution

The fourth proportional to 299,677.08, 413,905.42 and 238,627.64 is: 329,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,677.08 : 413,905.42 = 238,627.64 : x
  2. Step 2: Convert to fraction form
    299,677.08/413,905.42 = 238,627.64/x
  3. Step 3: Cross multiply
    299,677.08x = 413,905.42 × 238,627.64
  4. Step 4: Simplify right side
    299,677.08x = 98,769,273,557.81
  5. Step 5: Solve for x
    x = 98,769,273,557.81/299,677.08
  6. Step 6: Final answer
    x = 329,585.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.