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Finding the Fourth Proportional to 469,616.59, 647,583.78 and 401,857.84

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Solution

The fourth proportional to 469,616.59, 647,583.78 and 401,857.84 is: 554,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,616.59 : 647,583.78 = 401,857.84 : x
  2. Step 2: Convert to fraction form
    469,616.59/647,583.78 = 401,857.84/x
  3. Step 3: Cross multiply
    469,616.59x = 647,583.78 × 401,857.84
  4. Step 4: Simplify right side
    469,616.59x = 260,236,619,049.84
  5. Step 5: Solve for x
    x = 260,236,619,049.84/469,616.59
  6. Step 6: Final answer
    x = 554,146.99

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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.