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Finding the Fourth Proportional to 509,574.42, 764,378.91 and 135,597.78

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Solution

The fourth proportional to 509,574.42, 764,378.91 and 135,597.78 is: 203,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,574.42 : 764,378.91 = 135,597.78 : x
  2. Step 2: Convert to fraction form
    509,574.42/764,378.91 = 135,597.78/x
  3. Step 3: Cross multiply
    509,574.42x = 764,378.91 × 135,597.78
  4. Step 4: Simplify right side
    509,574.42x = 103,648,083,274.82
  5. Step 5: Solve for x
    x = 103,648,083,274.82/509,574.42
  6. Step 6: Final answer
    x = 203,401.27

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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.