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Finding the Fourth Proportional to 374,677.20, 562,015.80 and 280,198.80

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Solution

The fourth proportional to 374,677.20, 562,015.80 and 280,198.80 is: 420,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,677.20 : 562,015.80 = 280,198.80 : x
  2. Step 2: Convert to fraction form
    374,677.20/562,015.80 = 280,198.80/x
  3. Step 3: Cross multiply
    374,677.20x = 562,015.80 × 280,198.80
  4. Step 4: Simplify right side
    374,677.20x = 157,476,152,741.04
  5. Step 5: Solve for x
    x = 157,476,152,741.04/374,677.20
  6. Step 6: Final answer
    x = 420,298.20

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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.