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Finding the Fourth Proportional to 516,980.66, 713,420.84 and 287,537.27

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Solution

The fourth proportional to 516,980.66, 713,420.84 and 287,537.27 is: 396,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,980.66 : 713,420.84 = 287,537.27 : x
  2. Step 2: Convert to fraction form
    516,980.66/713,420.84 = 287,537.27/x
  3. Step 3: Cross multiply
    516,980.66x = 713,420.84 × 287,537.27
  4. Step 4: Simplify right side
    516,980.66x = 205,135,080,694.71
  5. Step 5: Solve for x
    x = 205,135,080,694.71/516,980.66
  6. Step 6: Final answer
    x = 396,794.50

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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.