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Finding the Fourth Proportional to 449,237.40, 673,856.10 and 412,495.80

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Solution

The fourth proportional to 449,237.40, 673,856.10 and 412,495.80 is: 618,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,237.40 : 673,856.10 = 412,495.80 : x
  2. Step 2: Convert to fraction form
    449,237.40/673,856.10 = 412,495.80/x
  3. Step 3: Cross multiply
    449,237.40x = 673,856.10 × 412,495.80
  4. Step 4: Simplify right side
    449,237.40x = 277,962,811,054.38
  5. Step 5: Solve for x
    x = 277,962,811,054.38/449,237.40
  6. Step 6: Final answer
    x = 618,743.70

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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.