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Finding the Fourth Proportional to 517,170, 713,687.58 and 290,816.04

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Solution

The fourth proportional to 517,170, 713,687.58 and 290,816.04 is: 401,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,170 : 713,687.58 = 290,816.04 : x
  2. Step 2: Convert to fraction form
    517,170/713,687.58 = 290,816.04/x
  3. Step 3: Cross multiply
    517,170x = 713,687.58 × 290,816.04
  4. Step 4: Simplify right side
    517,170x = 207,551,795,812.78
  5. Step 5: Solve for x
    x = 207,551,795,812.78/517,170
  6. Step 6: Final answer
    x = 401,322.19

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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.