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Finding the Fourth Proportional to 497,642, 686,725.57 and 279,844.48

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Solution

The fourth proportional to 497,642, 686,725.57 and 279,844.48 is: 386,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,642 : 686,725.57 = 279,844.48 : x
  2. Step 2: Convert to fraction form
    497,642/686,725.57 = 279,844.48/x
  3. Step 3: Cross multiply
    497,642x = 686,725.57 × 279,844.48
  4. Step 4: Simplify right side
    497,642x = 192,176,360,039.35
  5. Step 5: Solve for x
    x = 192,176,360,039.35/497,642
  6. Step 6: Final answer
    x = 386,173.92

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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.