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Finding the Fourth Proportional to 654,328,623.74, 902,976,429.58 and 356,969,964.78

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Solution

The fourth proportional to 654,328,623.74, 902,976,429.58 and 356,969,964.78 is: 492,620,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,328,623.74 : 902,976,429.58 = 356,969,964.78 : x
  2. Step 2: Convert to fraction form
    654,328,623.74/902,976,429.58 = 356,969,964.78/x
  3. Step 3: Cross multiply
    654,328,623.74x = 902,976,429.58 × 356,969,964.78
  4. Step 4: Simplify right side
    654,328,623.74x = 322,335,464,264,342,720
  5. Step 5: Solve for x
    x = 322,335,464,264,342,720/654,328,623.74
  6. Step 6: Final answer
    x = 492,620,149.22

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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.