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Finding the Fourth Proportional to 497,318.32, 686,299.27 and 270,963.82

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Solution

The fourth proportional to 497,318.32, 686,299.27 and 270,963.82 is: 373,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,318.32 : 686,299.27 = 270,963.82 : x
  2. Step 2: Convert to fraction form
    497,318.32/686,299.27 = 270,963.82/x
  3. Step 3: Cross multiply
    497,318.32x = 686,299.27 × 270,963.82
  4. Step 4: Simplify right side
    497,318.32x = 185,962,271,862.41
  5. Step 5: Solve for x
    x = 185,962,271,862.41/497,318.32
  6. Step 6: Final answer
    x = 373,930.07

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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.