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Finding the Fourth Proportional to 517,918.38, 714,676.28 and 288,467.97

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Solution

The fourth proportional to 517,918.38, 714,676.28 and 288,467.97 is: 398,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,918.38 : 714,676.28 = 288,467.97 : x
  2. Step 2: Convert to fraction form
    517,918.38/714,676.28 = 288,467.97/x
  3. Step 3: Cross multiply
    517,918.38x = 714,676.28 × 288,467.97
  4. Step 4: Simplify right side
    517,918.38x = 206,161,214,256.41
  5. Step 5: Solve for x
    x = 206,161,214,256.41/517,918.38
  6. Step 6: Final answer
    x = 398,057.34

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1.5x scale

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.