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Finding the Fourth Proportional to 378,875.96, 522,846.24 and 209,110.10

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Solution

The fourth proportional to 378,875.96, 522,846.24 and 209,110.10 is: 288,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,875.96 : 522,846.24 = 209,110.10 : x
  2. Step 2: Convert to fraction form
    378,875.96/522,846.24 = 209,110.10/x
  3. Step 3: Cross multiply
    378,875.96x = 522,846.24 × 209,110.10
  4. Step 4: Simplify right side
    378,875.96x = 109,332,429,531.02
  5. Step 5: Solve for x
    x = 109,332,429,531.02/378,875.96
  6. Step 6: Final answer
    x = 288,570.51

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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.