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Finding the Fourth Proportional to 509,820.88, 764,833.41 and 285,500.32

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Solution

The fourth proportional to 509,820.88, 764,833.41 and 285,500.32 is: 428,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,820.88 : 764,833.41 = 285,500.32 : x
  2. Step 2: Convert to fraction form
    509,820.88/764,833.41 = 285,500.32/x
  3. Step 3: Cross multiply
    509,820.88x = 764,833.41 × 285,500.32
  4. Step 4: Simplify right side
    509,820.88x = 218,360,183,301.69
  5. Step 5: Solve for x
    x = 218,360,183,301.69/509,820.88
  6. Step 6: Final answer
    x = 428,307.65

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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.