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Finding the Fourth Proportional to 409,033.56, 613,578.36 and 139,051.82

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Solution

The fourth proportional to 409,033.56, 613,578.36 and 139,051.82 is: 208,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,033.56 : 613,578.36 = 139,051.82 : x
  2. Step 2: Convert to fraction form
    409,033.56/613,578.36 = 139,051.82/x
  3. Step 3: Cross multiply
    409,033.56x = 613,578.36 × 139,051.82
  4. Step 4: Simplify right side
    409,033.56x = 85,319,187,670.62
  5. Step 5: Solve for x
    x = 85,319,187,670.62/409,033.56
  6. Step 6: Final answer
    x = 208,587.26

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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.