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Finding the Fourth Proportional to 457,372.82, 686,293.41 and 217,757.81

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Solution

The fourth proportional to 457,372.82, 686,293.41 and 217,757.81 is: 326,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,372.82 : 686,293.41 = 217,757.81 : x
  2. Step 2: Convert to fraction form
    457,372.82/686,293.41 = 217,757.81/x
  3. Step 3: Cross multiply
    457,372.82x = 686,293.41 × 217,757.81
  4. Step 4: Simplify right side
    457,372.82x = 149,445,746,547.57
  5. Step 5: Solve for x
    x = 149,445,746,547.57/457,372.82
  6. Step 6: Final answer
    x = 326,748.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.