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Finding the Fourth Proportional to 509,860.90, 764,102.43 and 194,145.58

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Solution

The fourth proportional to 509,860.90, 764,102.43 and 194,145.58 is: 290,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,860.90 : 764,102.43 = 194,145.58 : x
  2. Step 2: Convert to fraction form
    509,860.90/764,102.43 = 194,145.58/x
  3. Step 3: Cross multiply
    509,860.90x = 764,102.43 × 194,145.58
  4. Step 4: Simplify right side
    509,860.90x = 148,347,109,451.76
  5. Step 5: Solve for x
    x = 148,347,109,451.76/509,860.90
  6. Step 6: Final answer
    x = 290,956.04

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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.