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Finding the Fourth Proportional to 709,491,058.29, 978,955,659.41 and 396,177,064.29

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Solution

The fourth proportional to 709,491,058.29, 978,955,659.41 and 396,177,064.29 is: 546,645,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,491,058.29 : 978,955,659.41 = 396,177,064.29 : x
  2. Step 2: Convert to fraction form
    709,491,058.29/978,955,659.41 = 396,177,064.29/x
  3. Step 3: Cross multiply
    709,491,058.29x = 978,955,659.41 × 396,177,064.29
  4. Step 4: Simplify right side
    709,491,058.29x = 387,839,779,213,154,048
  5. Step 5: Solve for x
    x = 387,839,779,213,154,048/709,491,058.29
  6. Step 6: Final answer
    x = 546,645,055.89

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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.