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Finding the Fourth Proportional to 417,348, 575,940.24 and 238,500

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Solution

The fourth proportional to 417,348, 575,940.24 and 238,500 is: 329,130

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,348 : 575,940.24 = 238,500 : x
  2. Step 2: Convert to fraction form
    417,348/575,940.24 = 238,500/x
  3. Step 3: Cross multiply
    417,348x = 575,940.24 × 238,500
  4. Step 4: Simplify right side
    417,348x = 137,361,747,240
  5. Step 5: Solve for x
    x = 137,361,747,240/417,348
  6. Step 6: Final answer
    x = 329,130

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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.