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Finding the Fourth Proportional to 378,124.14, 521,808.80 and 208,358.30

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Solution

The fourth proportional to 378,124.14, 521,808.80 and 208,358.30 is: 287,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,124.14 : 521,808.80 = 208,358.30 : x
  2. Step 2: Convert to fraction form
    378,124.14/521,808.80 = 208,358.30/x
  3. Step 3: Cross multiply
    378,124.14x = 521,808.80 × 208,358.30
  4. Step 4: Simplify right side
    378,124.14x = 108,723,194,493.04
  5. Step 5: Solve for x
    x = 108,723,194,493.04/378,124.14
  6. Step 6: Final answer
    x = 287,533.07

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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.