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Finding the Fourth Proportional to 540,532.42, 810,930.78 and 380,919.70

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Solution

The fourth proportional to 540,532.42, 810,930.78 and 380,919.70 is: 571,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,532.42 : 810,930.78 = 380,919.70 : x
  2. Step 2: Convert to fraction form
    540,532.42/810,930.78 = 380,919.70/x
  3. Step 3: Cross multiply
    540,532.42x = 810,930.78 × 380,919.70
  4. Step 4: Simplify right side
    540,532.42x = 308,899,509,438.37
  5. Step 5: Solve for x
    x = 308,899,509,438.37/540,532.42
  6. Step 6: Final answer
    x = 571,472.68

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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.