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Finding the Fourth Proportional to 308,946, 463,405.10 and 84,305.66

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Solution

The fourth proportional to 308,946, 463,405.10 and 84,305.66 is: 126,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,946 : 463,405.10 = 84,305.66 : x
  2. Step 2: Convert to fraction form
    308,946/463,405.10 = 84,305.66/x
  3. Step 3: Cross multiply
    308,946x = 463,405.10 × 84,305.66
  4. Step 4: Simplify right side
    308,946x = 39,067,673,539.85
  5. Step 5: Solve for x
    x = 39,067,673,539.85/308,946
  6. Step 6: Final answer
    x = 126,454.70

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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.