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Finding the Fourth Proportional to 497,424.47, 685,958.10 and 315,821.11

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Solution

The fourth proportional to 497,424.47, 685,958.10 and 315,821.11 is: 435,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,424.47 : 685,958.10 = 315,821.11 : x
  2. Step 2: Convert to fraction form
    497,424.47/685,958.10 = 315,821.11/x
  3. Step 3: Cross multiply
    497,424.47x = 685,958.10 × 315,821.11
  4. Step 4: Simplify right side
    497,424.47x = 216,640,046,942.44
  5. Step 5: Solve for x
    x = 216,640,046,942.44/497,424.47
  6. Step 6: Final answer
    x = 435,523.51

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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.