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Finding the Fourth Proportional to 447,635.40, 671,453.10 and 442,969.80

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Solution

The fourth proportional to 447,635.40, 671,453.10 and 442,969.80 is: 664,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,635.40 : 671,453.10 = 442,969.80 : x
  2. Step 2: Convert to fraction form
    447,635.40/671,453.10 = 442,969.80/x
  3. Step 3: Cross multiply
    447,635.40x = 671,453.10 × 442,969.80
  4. Step 4: Simplify right side
    447,635.40x = 297,433,445,416.38
  5. Step 5: Solve for x
    x = 297,433,445,416.38/447,635.40
  6. Step 6: Final answer
    x = 664,454.70

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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.