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Finding the Fourth Proportional to 497,163.02, 686,065.61 and 303,894.32

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Solution

The fourth proportional to 497,163.02, 686,065.61 and 303,894.32 is: 419,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,163.02 : 686,065.61 = 303,894.32 : x
  2. Step 2: Convert to fraction form
    497,163.02/686,065.61 = 303,894.32/x
  3. Step 3: Cross multiply
    497,163.02x = 686,065.61 × 303,894.32
  4. Step 4: Simplify right side
    497,163.02x = 208,491,442,026.34
  5. Step 5: Solve for x
    x = 208,491,442,026.34/497,163.02
  6. Step 6: Final answer
    x = 419,362.33

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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.