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Finding the Fourth Proportional to 412,076.90, 617,820.15 and 159,140.90

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Solution

The fourth proportional to 412,076.90, 617,820.15 and 159,140.90 is: 238,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,076.90 : 617,820.15 = 159,140.90 : x
  2. Step 2: Convert to fraction form
    412,076.90/617,820.15 = 159,140.90/x
  3. Step 3: Cross multiply
    412,076.90x = 617,820.15 × 159,140.90
  4. Step 4: Simplify right side
    412,076.90x = 98,320,454,709.14
  5. Step 5: Solve for x
    x = 98,320,454,709.14/412,076.90
  6. Step 6: Final answer
    x = 238,597.35

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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.