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Finding the Fourth Proportional to 409,046.14, 613,597.02 and 139,064.32

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Solution

The fourth proportional to 409,046.14, 613,597.02 and 139,064.32 is: 208,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,046.14 : 613,597.02 = 139,064.32 : x
  2. Step 2: Convert to fraction form
    409,046.14/613,597.02 = 139,064.32/x
  3. Step 3: Cross multiply
    409,046.14x = 613,597.02 × 139,064.32
  4. Step 4: Simplify right side
    409,046.14x = 85,329,452,340.33
  5. Step 5: Solve for x
    x = 85,329,452,340.33/409,046.14
  6. Step 6: Final answer
    x = 208,605.93

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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.