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Finding the Fourth Proportional to 447,646.66, 670,819.36 and 287,219.28

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Solution

The fourth proportional to 447,646.66, 670,819.36 and 287,219.28 is: 430,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,646.66 : 670,819.36 = 287,219.28 : x
  2. Step 2: Convert to fraction form
    447,646.66/670,819.36 = 287,219.28/x
  3. Step 3: Cross multiply
    447,646.66x = 670,819.36 × 287,219.28
  4. Step 4: Simplify right side
    447,646.66x = 192,672,253,589.26
  5. Step 5: Solve for x
    x = 192,672,253,589.26/447,646.66
  6. Step 6: Final answer
    x = 430,411.46

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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.