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Finding the Fourth Proportional to 509,819.88, 764,831.91 and 285,499.32

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Solution

The fourth proportional to 509,819.88, 764,831.91 and 285,499.32 is: 428,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,819.88 : 764,831.91 = 285,499.32 : x
  2. Step 2: Convert to fraction form
    509,819.88/764,831.91 = 285,499.32/x
  3. Step 3: Cross multiply
    509,819.88x = 764,831.91 × 285,499.32
  4. Step 4: Simplify right side
    509,819.88x = 218,358,990,219.30
  5. Step 5: Solve for x
    x = 218,358,990,219.30/509,819.88
  6. Step 6: Final answer
    x = 428,306.15

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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.