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Finding the Fourth Proportional to 384,358.55, 576,036.18 and 278,100.42

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Solution

The fourth proportional to 384,358.55, 576,036.18 and 278,100.42 is: 416,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,358.55 : 576,036.18 = 278,100.42 : x
  2. Step 2: Convert to fraction form
    384,358.55/576,036.18 = 278,100.42/x
  3. Step 3: Cross multiply
    384,358.55x = 576,036.18 × 278,100.42
  4. Step 4: Simplify right side
    384,358.55x = 160,195,903,593.20
  5. Step 5: Solve for x
    x = 160,195,903,593.20/384,358.55
  6. Step 6: Final answer
    x = 416,787.67

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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.