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Finding the Fourth Proportional to 517,304.27, 713,873.02 and 290,949.77

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Solution

The fourth proportional to 517,304.27, 713,873.02 and 290,949.77 is: 401,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,304.27 : 713,873.02 = 290,949.77 : x
  2. Step 2: Convert to fraction form
    517,304.27/713,873.02 = 290,949.77/x
  3. Step 3: Cross multiply
    517,304.27x = 713,873.02 × 290,949.77
  4. Step 4: Simplify right side
    517,304.27x = 207,701,189,523.46
  5. Step 5: Solve for x
    x = 207,701,189,523.46/517,304.27
  6. Step 6: Final answer
    x = 401,506.81

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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.