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Finding the Fourth Proportional to 517,238.17, 713,777.47 and 299,456.03

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Solution

The fourth proportional to 517,238.17, 713,777.47 and 299,456.03 is: 413,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,238.17 : 713,777.47 = 299,456.03 : x
  2. Step 2: Convert to fraction form
    517,238.17/713,777.47 = 299,456.03/x
  3. Step 3: Cross multiply
    517,238.17x = 713,777.47 × 299,456.03
  4. Step 4: Simplify right side
    517,238.17x = 213,744,968,505.45
  5. Step 5: Solve for x
    x = 213,744,968,505.45/517,238.17
  6. Step 6: Final answer
    x = 413,242.84

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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.