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Finding the Fourth Proportional to 370,145.32, 510,791.10 and 206,803.06

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Solution

The fourth proportional to 370,145.32, 510,791.10 and 206,803.06 is: 285,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,145.32 : 510,791.10 = 206,803.06 : x
  2. Step 2: Convert to fraction form
    370,145.32/510,791.10 = 206,803.06/x
  3. Step 3: Cross multiply
    370,145.32x = 510,791.10 × 206,803.06
  4. Step 4: Simplify right side
    370,145.32x = 105,633,162,500.77
  5. Step 5: Solve for x
    x = 105,633,162,500.77/370,145.32
  6. Step 6: Final answer
    x = 285,382.95

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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.