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Finding the Fourth Proportional to 728,901, 1,093,526.87 and 230,265

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Solution

The fourth proportional to 728,901, 1,093,526.87 and 230,265 is: 345,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,901 : 1,093,526.87 = 230,265 : x
  2. Step 2: Convert to fraction form
    728,901/1,093,526.87 = 230,265/x
  3. Step 3: Cross multiply
    728,901x = 1,093,526.87 × 230,265
  4. Step 4: Simplify right side
    728,901x = 251,800,963,569.23
  5. Step 5: Solve for x
    x = 251,800,963,569.23/728,901
  6. Step 6: Final answer
    x = 345,452.90

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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.