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Finding the Fourth Proportional to 728,902, 1,093,528.37 and 230,266

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Solution

The fourth proportional to 728,902, 1,093,528.37 and 230,266 is: 345,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,902 : 1,093,528.37 = 230,266 : x
  2. Step 2: Convert to fraction form
    728,902/1,093,528.37 = 230,266/x
  3. Step 3: Cross multiply
    728,902x = 1,093,528.37 × 230,266
  4. Step 4: Simplify right side
    728,902x = 251,802,403,646.42
  5. Step 5: Solve for x
    x = 251,802,403,646.42/728,902
  6. Step 6: Final answer
    x = 345,454.40

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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.