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Finding the Fourth Proportional to 308,853,649.56, 463,280,101.74 and 78,822,758.82

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Solution

The fourth proportional to 308,853,649.56, 463,280,101.74 and 78,822,758.82 is: 118,234,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,853,649.56 : 463,280,101.74 = 78,822,758.82 : x
  2. Step 2: Convert to fraction form
    308,853,649.56/463,280,101.74 = 78,822,758.82/x
  3. Step 3: Cross multiply
    308,853,649.56x = 463,280,101.74 × 78,822,758.82
  4. Step 4: Simplify right side
    308,853,649.56x = 36,517,015,725,557,080
  5. Step 5: Solve for x
    x = 36,517,015,725,557,080/308,853,649.56
  6. Step 6: Final answer
    x = 118,234,043.14

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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.