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Finding the Fourth Proportional to 399,714.51, 551,613.24 and 218,434.08

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Solution

The fourth proportional to 399,714.51, 551,613.24 and 218,434.08 is: 301,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,714.51 : 551,613.24 = 218,434.08 : x
  2. Step 2: Convert to fraction form
    399,714.51/551,613.24 = 218,434.08/x
  3. Step 3: Cross multiply
    399,714.51x = 551,613.24 × 218,434.08
  4. Step 4: Simplify right side
    399,714.51x = 120,491,130,595.22
  5. Step 5: Solve for x
    x = 120,491,130,595.22/399,714.51
  6. Step 6: Final answer
    x = 301,442.97

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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.