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Finding the Fourth Proportional to 409,033.71, 613,578.57 and 139,051.98

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Solution

The fourth proportional to 409,033.71, 613,578.57 and 139,051.98 is: 208,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,033.71 : 613,578.57 = 139,051.98 : x
  2. Step 2: Convert to fraction form
    409,033.71/613,578.57 = 139,051.98/x
  3. Step 3: Cross multiply
    409,033.71x = 613,578.57 × 139,051.98
  4. Step 4: Simplify right side
    409,033.71x = 85,319,315,044.07
  5. Step 5: Solve for x
    x = 85,319,315,044.07/409,033.71
  6. Step 6: Final answer
    x = 208,587.49

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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.