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Finding the Fourth Proportional to 518,080.81, 777,297.67 and 316,081.31

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Solution

The fourth proportional to 518,080.81, 777,297.67 and 316,081.31 is: 474,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,080.81 : 777,297.67 = 316,081.31 : x
  2. Step 2: Convert to fraction form
    518,080.81/777,297.67 = 316,081.31/x
  3. Step 3: Cross multiply
    518,080.81x = 777,297.67 × 316,081.31
  4. Step 4: Simplify right side
    518,080.81x = 245,689,267,675.31
  5. Step 5: Solve for x
    x = 245,689,267,675.31/518,080.81
  6. Step 6: Final answer
    x = 474,229.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.