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Finding the Fourth Proportional to 412,854, 619,385.08 and 117,366

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Solution

The fourth proportional to 412,854, 619,385.08 and 117,366 is: 176,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,854 : 619,385.08 = 117,366 : x
  2. Step 2: Convert to fraction form
    412,854/619,385.08 = 117,366/x
  3. Step 3: Cross multiply
    412,854x = 619,385.08 × 117,366
  4. Step 4: Simplify right side
    412,854x = 72,694,749,299.28
  5. Step 5: Solve for x
    x = 72,694,749,299.28/412,854
  6. Step 6: Final answer
    x = 176,078.59

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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.