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Finding the Fourth Proportional to 384,078.12, 576,144.88 and 147,420.80

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Solution

The fourth proportional to 384,078.12, 576,144.88 and 147,420.80 is: 221,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,078.12 : 576,144.88 = 147,420.80 : x
  2. Step 2: Convert to fraction form
    384,078.12/576,144.88 = 147,420.80/x
  3. Step 3: Cross multiply
    384,078.12x = 576,144.88 × 147,420.80
  4. Step 4: Simplify right side
    384,078.12x = 84,935,739,125.50
  5. Step 5: Solve for x
    x = 84,935,739,125.50/384,078.12
  6. Step 6: Final answer
    x = 221,141.83

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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.