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Finding the Fourth Proportional to 307,940.64, 424,865.10 and 178,854.18

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Solution

The fourth proportional to 307,940.64, 424,865.10 and 178,854.18 is: 246,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,940.64 : 424,865.10 = 178,854.18 : x
  2. Step 2: Convert to fraction form
    307,940.64/424,865.10 = 178,854.18/x
  3. Step 3: Cross multiply
    307,940.64x = 424,865.10 × 178,854.18
  4. Step 4: Simplify right side
    307,940.64x = 75,988,899,071.12
  5. Step 5: Solve for x
    x = 75,988,899,071.12/307,940.64
  6. Step 6: Final answer
    x = 246,764.76

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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.