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Finding the Fourth Proportional to 685,967,978.64, 1,028,431,286.96 and 353,616,849.48

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Solution

The fourth proportional to 685,967,978.64, 1,028,431,286.96 and 353,616,849.48 is: 530,156,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,967,978.64 : 1,028,431,286.96 = 353,616,849.48 : x
  2. Step 2: Convert to fraction form
    685,967,978.64/1,028,431,286.96 = 353,616,849.48/x
  3. Step 3: Cross multiply
    685,967,978.64x = 1,028,431,286.96 × 353,616,849.48
  4. Step 4: Simplify right side
    685,967,978.64x = 363,670,631,601,457,024
  5. Step 5: Solve for x
    x = 363,670,631,601,457,024/685,967,978.64
  6. Step 6: Final answer
    x = 530,156,862.89

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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.