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Finding the Fourth Proportional to 378,037.13, 521,691.23 and 208,274.90

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Solution

The fourth proportional to 378,037.13, 521,691.23 and 208,274.90 is: 287,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,037.13 : 521,691.23 = 208,274.90 : x
  2. Step 2: Convert to fraction form
    378,037.13/521,691.23 = 208,274.90/x
  3. Step 3: Cross multiply
    378,037.13x = 521,691.23 × 208,274.90
  4. Step 4: Simplify right side
    378,037.13x = 108,655,186,671.36
  5. Step 5: Solve for x
    x = 108,655,186,671.36/378,037.13
  6. Step 6: Final answer
    x = 287,419.36

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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.