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Finding the Fourth Proportional to 307,272.16, 424,039.32 and 178,240.52

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Solution

The fourth proportional to 307,272.16, 424,039.32 and 178,240.52 is: 245,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,272.16 : 424,039.32 = 178,240.52 : x
  2. Step 2: Convert to fraction form
    307,272.16/424,039.32 = 178,240.52/x
  3. Step 3: Cross multiply
    307,272.16x = 424,039.32 × 178,240.52
  4. Step 4: Simplify right side
    307,272.16x = 75,580,989,957.34
  5. Step 5: Solve for x
    x = 75,580,989,957.34/307,272.16
  6. Step 6: Final answer
    x = 245,974.09

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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.