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Finding the Fourth Proportional to 728,605.80, 1,092,106.80 and 255,047.40

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Solution

The fourth proportional to 728,605.80, 1,092,106.80 and 255,047.40 is: 382,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,605.80 : 1,092,106.80 = 255,047.40 : x
  2. Step 2: Convert to fraction form
    728,605.80/1,092,106.80 = 255,047.40/x
  3. Step 3: Cross multiply
    728,605.80x = 1,092,106.80 × 255,047.40
  4. Step 4: Simplify right side
    728,605.80x = 278,538,999,862.32
  5. Step 5: Solve for x
    x = 278,538,999,862.32/728,605.80
  6. Step 6: Final answer
    x = 382,290.40

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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.