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Finding the Fourth Proportional to 308,853,463.82, 463,279,824 and 78,822,573.08

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Solution

The fourth proportional to 308,853,463.82, 463,279,824 and 78,822,573.08 is: 118,233,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,853,463.82 : 463,279,824 = 78,822,573.08 : x
  2. Step 2: Convert to fraction form
    308,853,463.82/463,279,824 = 78,822,573.08/x
  3. Step 3: Cross multiply
    308,853,463.82x = 463,279,824 × 78,822,573.08
  4. Step 4: Simplify right side
    308,853,463.82x = 36,516,907,781,413,144
  5. Step 5: Solve for x
    x = 36,516,907,781,413,144/308,853,463.82
  6. Step 6: Final answer
    x = 118,233,764.75

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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.