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Finding the Fourth Proportional to 403,841.70, 605,645.91 and 137,596.32

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Solution

The fourth proportional to 403,841.70, 605,645.91 and 137,596.32 is: 206,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,841.70 : 605,645.91 = 137,596.32 : x
  2. Step 2: Convert to fraction form
    403,841.70/605,645.91 = 137,596.32/x
  3. Step 3: Cross multiply
    403,841.70x = 605,645.91 × 137,596.32
  4. Step 4: Simplify right side
    403,841.70x = 83,334,648,439.05
  5. Step 5: Solve for x
    x = 83,334,648,439.05/403,841.70
  6. Step 6: Final answer
    x = 206,354.74

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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.