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Finding the Fourth Proportional to 521,707.60, 783,079.80 and 255,768.40

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Solution

The fourth proportional to 521,707.60, 783,079.80 and 255,768.40 is: 383,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,707.60 : 783,079.80 = 255,768.40 : x
  2. Step 2: Convert to fraction form
    521,707.60/783,079.80 = 255,768.40/x
  3. Step 3: Cross multiply
    521,707.60x = 783,079.80 × 255,768.40
  4. Step 4: Simplify right side
    521,707.60x = 200,287,067,518.32
  5. Step 5: Solve for x
    x = 200,287,067,518.32/521,707.60
  6. Step 6: Final answer
    x = 383,906.75

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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.