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Finding the Fourth Proportional to 613,728,501, 920,955,956.32 and 225,823,736.48

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Solution

The fourth proportional to 613,728,501, 920,955,956.32 and 225,823,736.48 is: 338,869,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,728,501 : 920,955,956.32 = 225,823,736.48 : x
  2. Step 2: Convert to fraction form
    613,728,501/920,955,956.32 = 225,823,736.48/x
  3. Step 3: Cross multiply
    613,728,501x = 920,955,956.32 × 225,823,736.48
  4. Step 4: Simplify right side
    613,728,501x = 207,973,715,189,694,080
  5. Step 5: Solve for x
    x = 207,973,715,189,694,080/613,728,501
  6. Step 6: Final answer
    x = 338,869,247.32

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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.