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Finding the Fourth Proportional to 517,364.20, 713,968.50 and 291,007.72

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Solution

The fourth proportional to 517,364.20, 713,968.50 and 291,007.72 is: 401,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,364.20 : 713,968.50 = 291,007.72 : x
  2. Step 2: Convert to fraction form
    517,364.20/713,968.50 = 291,007.72/x
  3. Step 3: Cross multiply
    517,364.20x = 713,968.50 × 291,007.72
  4. Step 4: Simplify right side
    517,364.20x = 207,770,345,336.82
  5. Step 5: Solve for x
    x = 207,770,345,336.82/517,364.20
  6. Step 6: Final answer
    x = 401,593.97

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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.