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Finding the Fourth Proportional to 518,714.28, 715,828.79 and 289,286.10

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Solution

The fourth proportional to 518,714.28, 715,828.79 and 289,286.10 is: 399,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,714.28 : 715,828.79 = 289,286.10 : x
  2. Step 2: Convert to fraction form
    518,714.28/715,828.79 = 289,286.10/x
  3. Step 3: Cross multiply
    518,714.28x = 715,828.79 × 289,286.10
  4. Step 4: Simplify right side
    518,714.28x = 207,079,319,650.03
  5. Step 5: Solve for x
    x = 207,079,319,650.03/518,714.28
  6. Step 6: Final answer
    x = 399,216.54

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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.