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Finding the Fourth Proportional to 659,346.30, 989,019.45 and 446,769.90

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Solution

The fourth proportional to 659,346.30, 989,019.45 and 446,769.90 is: 670,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,346.30 : 989,019.45 = 446,769.90 : x
  2. Step 2: Convert to fraction form
    659,346.30/989,019.45 = 446,769.90/x
  3. Step 3: Cross multiply
    659,346.30x = 989,019.45 × 446,769.90
  4. Step 4: Simplify right side
    659,346.30x = 441,864,120,774.56
  5. Step 5: Solve for x
    x = 441,864,120,774.56/659,346.30
  6. Step 6: Final answer
    x = 670,154.85

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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.