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Finding the Fourth Proportional to 298,656,340.80, 447,984,511.20 and 94,205,083.20

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Solution

The fourth proportional to 298,656,340.80, 447,984,511.20 and 94,205,083.20 is: 141,307,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,656,340.80 : 447,984,511.20 = 94,205,083.20 : x
  2. Step 2: Convert to fraction form
    298,656,340.80/447,984,511.20 = 94,205,083.20/x
  3. Step 3: Cross multiply
    298,656,340.80x = 447,984,511.20 × 94,205,083.20
  4. Step 4: Simplify right side
    298,656,340.80x = 42,202,418,149,907,336
  5. Step 5: Solve for x
    x = 42,202,418,149,907,336/298,656,340.80
  6. Step 6: Final answer
    x = 141,307,624.80

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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.