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Finding the Fourth Proportional to 1,159,740,388.64, 1,600,441,969.68 and 638,219,620.64

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Solution

The fourth proportional to 1,159,740,388.64, 1,600,441,969.68 and 638,219,620.64 is: 880,743,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,740,388.64 : 1,600,441,969.68 = 638,219,620.64 : x
  2. Step 2: Convert to fraction form
    1,159,740,388.64/1,600,441,969.68 = 638,219,620.64/x
  3. Step 3: Cross multiply
    1,159,740,388.64x = 1,600,441,969.68 × 638,219,620.64
  4. Step 4: Simplify right side
    1,159,740,388.64x = 1,021,433,466,745,504,000
  5. Step 5: Solve for x
    x = 1,021,433,466,745,504,000/1,159,740,388.64
  6. Step 6: Final answer
    x = 880,743,204.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.