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Finding the Fourth Proportional to 517,213.48, 713,743.41 and 299,431.39

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Solution

The fourth proportional to 517,213.48, 713,743.41 and 299,431.39 is: 413,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,213.48 : 713,743.41 = 299,431.39 : x
  2. Step 2: Convert to fraction form
    517,213.48/713,743.41 = 299,431.39/x
  3. Step 3: Cross multiply
    517,213.48x = 713,743.41 × 299,431.39
  4. Step 4: Simplify right side
    517,213.48x = 213,717,179,575.28
  5. Step 5: Solve for x
    x = 213,717,179,575.28/517,213.48
  6. Step 6: Final answer
    x = 413,208.84

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1.5x scale

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.