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Finding the Fourth Proportional to 463,942.40, 695,978.40 and 197,700.80

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Solution

The fourth proportional to 463,942.40, 695,978.40 and 197,700.80 is: 296,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,942.40 : 695,978.40 = 197,700.80 : x
  2. Step 2: Convert to fraction form
    463,942.40/695,978.40 = 197,700.80/x
  3. Step 3: Cross multiply
    463,942.40x = 695,978.40 × 197,700.80
  4. Step 4: Simplify right side
    463,942.40x = 137,595,486,462.72
  5. Step 5: Solve for x
    x = 137,595,486,462.72/463,942.40
  6. Step 6: Final answer
    x = 296,578.81

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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.