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Finding the Fourth Proportional to 355,425.62, 533,138.41 and 142,289.47

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Solution

The fourth proportional to 355,425.62, 533,138.41 and 142,289.47 is: 213,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,425.62 : 533,138.41 = 142,289.47 : x
  2. Step 2: Convert to fraction form
    355,425.62/533,138.41 = 142,289.47/x
  3. Step 3: Cross multiply
    355,425.62x = 533,138.41 × 142,289.47
  4. Step 4: Simplify right side
    355,425.62x = 75,859,982,639.83
  5. Step 5: Solve for x
    x = 75,859,982,639.83/355,425.62
  6. Step 6: Final answer
    x = 213,434.20

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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.