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Finding the Fourth Proportional to 447,712.30, 671,568.45 and 421,446.70

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Solution

The fourth proportional to 447,712.30, 671,568.45 and 421,446.70 is: 632,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,712.30 : 671,568.45 = 421,446.70 : x
  2. Step 2: Convert to fraction form
    447,712.30/671,568.45 = 421,446.70/x
  3. Step 3: Cross multiply
    447,712.30x = 671,568.45 × 421,446.70
  4. Step 4: Simplify right side
    447,712.30x = 283,030,307,076.62
  5. Step 5: Solve for x
    x = 283,030,307,076.62/447,712.30
  6. Step 6: Final answer
    x = 632,170.05

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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.