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Finding the Fourth Proportional to 509,670.35, 764,507.96 and 154,687.44

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Solution

The fourth proportional to 509,670.35, 764,507.96 and 154,687.44 is: 232,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,670.35 : 764,507.96 = 154,687.44 : x
  2. Step 2: Convert to fraction form
    509,670.35/764,507.96 = 154,687.44/x
  3. Step 3: Cross multiply
    509,670.35x = 764,507.96 × 154,687.44
  4. Step 4: Simplify right side
    509,670.35x = 118,259,778,418.59
  5. Step 5: Solve for x
    x = 118,259,778,418.59/509,670.35
  6. Step 6: Final answer
    x = 232,031.90

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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.