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Finding the Fourth Proportional to 509,178.69, 762,604.61 and 243,125.55

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Solution

The fourth proportional to 509,178.69, 762,604.61 and 243,125.55 is: 364,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,178.69 : 762,604.61 = 243,125.55 : x
  2. Step 2: Convert to fraction form
    509,178.69/762,604.61 = 243,125.55/x
  3. Step 3: Cross multiply
    509,178.69x = 762,604.61 × 243,125.55
  4. Step 4: Simplify right side
    509,178.69x = 185,408,664,023.16
  5. Step 5: Solve for x
    x = 185,408,664,023.16/509,178.69
  6. Step 6: Final answer
    x = 364,132.80

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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.