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Finding the Fourth Proportional to 517,351.68, 713,954.88 and 287,928

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Solution

The fourth proportional to 517,351.68, 713,954.88 and 287,928 is: 397,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,351.68 : 713,954.88 = 287,928 : x
  2. Step 2: Convert to fraction form
    517,351.68/713,954.88 = 287,928/x
  3. Step 3: Cross multiply
    517,351.68x = 713,954.88 × 287,928
  4. Step 4: Simplify right side
    517,351.68x = 205,567,600,688.64
  5. Step 5: Solve for x
    x = 205,567,600,688.64/517,351.68
  6. Step 6: Final answer
    x = 397,345.96

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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.