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Finding the Fourth Proportional to 216,451,310.40, 324,676,965.60 and 201,145,809.60

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Solution

The fourth proportional to 216,451,310.40, 324,676,965.60 and 201,145,809.60 is: 301,718,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,451,310.40 : 324,676,965.60 = 201,145,809.60 : x
  2. Step 2: Convert to fraction form
    216,451,310.40/324,676,965.60 = 201,145,809.60/x
  3. Step 3: Cross multiply
    216,451,310.40x = 324,676,965.60 × 201,145,809.60
  4. Step 4: Simplify right side
    216,451,310.40x = 65,307,411,104,083,352
  5. Step 5: Solve for x
    x = 65,307,411,104,083,352/216,451,310.40
  6. Step 6: Final answer
    x = 301,718,714.40

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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.