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Finding the Fourth Proportional to 406,387.42, 561,088.66 and 253,658.26

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Solution

The fourth proportional to 406,387.42, 561,088.66 and 253,658.26 is: 350,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,387.42 : 561,088.66 = 253,658.26 : x
  2. Step 2: Convert to fraction form
    406,387.42/561,088.66 = 253,658.26/x
  3. Step 3: Cross multiply
    406,387.42x = 561,088.66 × 253,658.26
  4. Step 4: Simplify right side
    406,387.42x = 142,324,773,201.33
  5. Step 5: Solve for x
    x = 142,324,773,201.33/406,387.42
  6. Step 6: Final answer
    x = 350,219.44

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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.