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Finding the Fourth Proportional to 509,448, 763,121.70 and 298,446.24

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Solution

The fourth proportional to 509,448, 763,121.70 and 298,446.24 is: 447,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,448 : 763,121.70 = 298,446.24 : x
  2. Step 2: Convert to fraction form
    509,448/763,121.70 = 298,446.24/x
  3. Step 3: Cross multiply
    509,448x = 763,121.70 × 298,446.24
  4. Step 4: Simplify right side
    509,448x = 227,750,802,027.41
  5. Step 5: Solve for x
    x = 227,750,802,027.41/509,448
  6. Step 6: Final answer
    x = 447,054.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.