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Finding the Fourth Proportional to 725,303,034.78, 1,000,795,646.79 and 407,720,979.06

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Solution

The fourth proportional to 725,303,034.78, 1,000,795,646.79 and 407,720,979.06 is: 562,586,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,303,034.78 : 1,000,795,646.79 = 407,720,979.06 : x
  2. Step 2: Convert to fraction form
    725,303,034.78/1,000,795,646.79 = 407,720,979.06/x
  3. Step 3: Cross multiply
    725,303,034.78x = 1,000,795,646.79 × 407,720,979.06
  4. Step 4: Simplify right side
    725,303,034.78x = 408,045,380,948,204,736
  5. Step 5: Solve for x
    x = 408,045,380,948,204,736/725,303,034.78
  6. Step 6: Final answer
    x = 562,586,065.94

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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.