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Finding the Fourth Proportional to 307,274.61, 424,042.71 and 178,242.96

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Solution

The fourth proportional to 307,274.61, 424,042.71 and 178,242.96 is: 245,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,274.61 : 424,042.71 = 178,242.96 : x
  2. Step 2: Convert to fraction form
    307,274.61/424,042.71 = 178,242.96/x
  3. Step 3: Cross multiply
    307,274.61x = 424,042.71 × 178,242.96
  4. Step 4: Simplify right side
    307,274.61x = 75,582,627,796.82
  5. Step 5: Solve for x
    x = 75,582,627,796.82/307,274.61
  6. Step 6: Final answer
    x = 245,977.46

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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.