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Finding the Fourth Proportional to 6,447,948.09, 9,671,920.33 and 4,420,043.96

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Solution

The fourth proportional to 6,447,948.09, 9,671,920.33 and 4,420,043.96 is: 6,630,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447,948.09 : 9,671,920.33 = 4,420,043.96 : x
  2. Step 2: Convert to fraction form
    6,447,948.09/9,671,920.33 = 4,420,043.96/x
  3. Step 3: Cross multiply
    6,447,948.09x = 9,671,920.33 × 4,420,043.96
  4. Step 4: Simplify right side
    6,447,948.09x = 42,750,313,036,217.70
  5. Step 5: Solve for x
    x = 42,750,313,036,217.70/6,447,948.09
  6. Step 6: Final answer
    x = 6,630,064.70

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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.