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Finding the Fourth Proportional to 442,853.36, 664,317.36 and 139,317.20

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Solution

The fourth proportional to 442,853.36, 664,317.36 and 139,317.20 is: 208,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,853.36 : 664,317.36 = 139,317.20 : x
  2. Step 2: Convert to fraction form
    442,853.36/664,317.36 = 139,317.20/x
  3. Step 3: Cross multiply
    442,853.36x = 664,317.36 × 139,317.20
  4. Step 4: Simplify right side
    442,853.36x = 92,550,834,506.59
  5. Step 5: Solve for x
    x = 92,550,834,506.59/442,853.36
  6. Step 6: Final answer
    x = 208,987.54

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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.