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Finding the Fourth Proportional to 721,820, 1,082,231.04 and 519,540.32

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Solution

The fourth proportional to 721,820, 1,082,231.04 and 519,540.32 is: 778,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,820 : 1,082,231.04 = 519,540.32 : x
  2. Step 2: Convert to fraction form
    721,820/1,082,231.04 = 519,540.32/x
  3. Step 3: Cross multiply
    721,820x = 1,082,231.04 × 519,540.32
  4. Step 4: Simplify right side
    721,820x = 562,262,660,835.53
  5. Step 5: Solve for x
    x = 562,262,660,835.53/721,820
  6. Step 6: Final answer
    x = 778,951.35

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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.