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Finding the Fourth Proportional to 517,352.68, 713,956.26 and 287,929

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Solution

The fourth proportional to 517,352.68, 713,956.26 and 287,929 is: 397,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,352.68 : 713,956.26 = 287,929 : x
  2. Step 2: Convert to fraction form
    517,352.68/713,956.26 = 287,929/x
  3. Step 3: Cross multiply
    517,352.68x = 713,956.26 × 287,929
  4. Step 4: Simplify right side
    517,352.68x = 205,568,711,985.54
  5. Step 5: Solve for x
    x = 205,568,711,985.54/517,352.68
  6. Step 6: Final answer
    x = 397,347.34

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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.