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Finding the Fourth Proportional to 497,497.92, 685,851.51 and 420,708.57

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Solution

The fourth proportional to 497,497.92, 685,851.51 and 420,708.57 is: 579,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,497.92 : 685,851.51 = 420,708.57 : x
  2. Step 2: Convert to fraction form
    497,497.92/685,851.51 = 420,708.57/x
  3. Step 3: Cross multiply
    497,497.92x = 685,851.51 × 420,708.57
  4. Step 4: Simplify right side
    497,497.92x = 288,543,608,004.44
  5. Step 5: Solve for x
    x = 288,543,608,004.44/497,497.92
  6. Step 6: Final answer
    x = 579,989.58

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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.