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Finding the Fourth Proportional to 518,714.80, 715,825.01 and 289,272.33

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Solution

The fourth proportional to 518,714.80, 715,825.01 and 289,272.33 is: 399,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,714.80 : 715,825.01 = 289,272.33 : x
  2. Step 2: Convert to fraction form
    518,714.80/715,825.01 = 289,272.33/x
  3. Step 3: Cross multiply
    518,714.80x = 715,825.01 × 289,272.33
  4. Step 4: Simplify right side
    518,714.80x = 207,068,369,238.15
  5. Step 5: Solve for x
    x = 207,068,369,238.15/518,714.80
  6. Step 6: Final answer
    x = 399,195.03

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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.