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Finding the Fourth Proportional to 378,025, 521,674.50 and 208,259.08

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Solution

The fourth proportional to 378,025, 521,674.50 and 208,259.08 is: 287,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,025 : 521,674.50 = 208,259.08 : x
  2. Step 2: Convert to fraction form
    378,025/521,674.50 = 208,259.08/x
  3. Step 3: Cross multiply
    378,025x = 521,674.50 × 208,259.08
  4. Step 4: Simplify right side
    378,025x = 108,643,451,429.46
  5. Step 5: Solve for x
    x = 108,643,451,429.46/378,025
  6. Step 6: Final answer
    x = 287,397.53

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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.