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Finding the Fourth Proportional to 381,354.85, 571,674.12 and 128,458.36

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Solution

The fourth proportional to 381,354.85, 571,674.12 and 128,458.36 is: 192,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,354.85 : 571,674.12 = 128,458.36 : x
  2. Step 2: Convert to fraction form
    381,354.85/571,674.12 = 128,458.36/x
  3. Step 3: Cross multiply
    381,354.85x = 571,674.12 × 128,458.36
  4. Step 4: Simplify right side
    381,354.85x = 73,436,319,909.64
  5. Step 5: Solve for x
    x = 73,436,319,909.64/381,354.85
  6. Step 6: Final answer
    x = 192,566.90

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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.