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Finding the Fourth Proportional to 412,991.10, 619,486.65 and 287,019.90

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Solution

The fourth proportional to 412,991.10, 619,486.65 and 287,019.90 is: 430,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,991.10 : 619,486.65 = 287,019.90 : x
  2. Step 2: Convert to fraction form
    412,991.10/619,486.65 = 287,019.90/x
  3. Step 3: Cross multiply
    412,991.10x = 619,486.65 × 287,019.90
  4. Step 4: Simplify right side
    412,991.10x = 177,804,996,334.34
  5. Step 5: Solve for x
    x = 177,804,996,334.34/412,991.10
  6. Step 6: Final answer
    x = 430,529.85

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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.