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Finding the Fourth Proportional to 517,144.52, 713,664.88 and 284,574.56

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Solution

The fourth proportional to 517,144.52, 713,664.88 and 284,574.56 is: 392,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,144.52 : 713,664.88 = 284,574.56 : x
  2. Step 2: Convert to fraction form
    517,144.52/713,664.88 = 284,574.56/x
  3. Step 3: Cross multiply
    517,144.52x = 713,664.88 × 284,574.56
  4. Step 4: Simplify right side
    517,144.52x = 203,090,864,933.69
  5. Step 5: Solve for x
    x = 203,090,864,933.69/517,144.52
  6. Step 6: Final answer
    x = 392,715.88

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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.