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Finding the Fourth Proportional to 378,473.60, 522,269.76 and 208,709.12

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Solution

The fourth proportional to 378,473.60, 522,269.76 and 208,709.12 is: 288,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,473.60 : 522,269.76 = 208,709.12 : x
  2. Step 2: Convert to fraction form
    378,473.60/522,269.76 = 208,709.12/x
  3. Step 3: Cross multiply
    378,473.60x = 522,269.76 × 208,709.12
  4. Step 4: Simplify right side
    378,473.60x = 109,002,462,012.21
  5. Step 5: Solve for x
    x = 109,002,462,012.21/378,473.60
  6. Step 6: Final answer
    x = 288,005.46

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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.