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Finding the Fourth Proportional to 403,594.85, 556,850.09 and 280,949.82

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Solution

The fourth proportional to 403,594.85, 556,850.09 and 280,949.82 is: 387,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,594.85 : 556,850.09 = 280,949.82 : x
  2. Step 2: Convert to fraction form
    403,594.85/556,850.09 = 280,949.82/x
  3. Step 3: Cross multiply
    403,594.85x = 556,850.09 × 280,949.82
  4. Step 4: Simplify right side
    403,594.85x = 156,446,931,166.67
  5. Step 5: Solve for x
    x = 156,446,931,166.67/403,594.85
  6. Step 6: Final answer
    x = 387,633.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.