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Finding the Fourth Proportional to 378,876.96, 522,847.62 and 209,111.10

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Solution

The fourth proportional to 378,876.96, 522,847.62 and 209,111.10 is: 288,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,876.96 : 522,847.62 = 209,111.10 : x
  2. Step 2: Convert to fraction form
    378,876.96/522,847.62 = 209,111.10/x
  3. Step 3: Cross multiply
    378,876.96x = 522,847.62 × 209,111.10
  4. Step 4: Simplify right side
    378,876.96x = 109,333,240,950.58
  5. Step 5: Solve for x
    x = 109,333,240,950.58/378,876.96
  6. Step 6: Final answer
    x = 288,571.89

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1.5x scale

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.