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Finding the Fourth Proportional to 304,932.75, 420,807.20 and 185,700.75

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Solution

The fourth proportional to 304,932.75, 420,807.20 and 185,700.75 is: 256,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,932.75 : 420,807.20 = 185,700.75 : x
  2. Step 2: Convert to fraction form
    304,932.75/420,807.20 = 185,700.75/x
  3. Step 3: Cross multiply
    304,932.75x = 420,807.20 × 185,700.75
  4. Step 4: Simplify right side
    304,932.75x = 78,144,211,716.90
  5. Step 5: Solve for x
    x = 78,144,211,716.90/304,932.75
  6. Step 6: Final answer
    x = 256,267.04

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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.