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Finding the Fourth Proportional to 412,076.40, 617,819.40 and 159,140.40

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Solution

The fourth proportional to 412,076.40, 617,819.40 and 159,140.40 is: 238,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,076.40 : 617,819.40 = 159,140.40 : x
  2. Step 2: Convert to fraction form
    412,076.40/617,819.40 = 159,140.40/x
  3. Step 3: Cross multiply
    412,076.40x = 617,819.40 × 159,140.40
  4. Step 4: Simplify right side
    412,076.40x = 98,320,026,443.76
  5. Step 5: Solve for x
    x = 98,320,026,443.76/412,076.40
  6. Step 6: Final answer
    x = 238,596.60

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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.