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Finding the Fourth Proportional to 497,481.21, 686,634.84 and 316,157.76

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Solution

The fourth proportional to 497,481.21, 686,634.84 and 316,157.76 is: 436,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,481.21 : 686,634.84 = 316,157.76 : x
  2. Step 2: Convert to fraction form
    497,481.21/686,634.84 = 316,157.76/x
  3. Step 3: Cross multiply
    497,481.21x = 686,634.84 × 316,157.76
  4. Step 4: Simplify right side
    497,481.21x = 217,084,932,952.36
  5. Step 5: Solve for x
    x = 217,084,932,952.36/497,481.21
  6. Step 6: Final answer
    x = 436,368.11

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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.