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Finding the Fourth Proportional to 721,878, 1,082,443.23 and 384,828.12

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Solution

The fourth proportional to 721,878, 1,082,443.23 and 384,828.12 is: 577,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,878 : 1,082,443.23 = 384,828.12 : x
  2. Step 2: Convert to fraction form
    721,878/1,082,443.23 = 384,828.12/x
  3. Step 3: Cross multiply
    721,878x = 1,082,443.23 × 384,828.12
  4. Step 4: Simplify right side
    721,878x = 416,554,593,207.63
  5. Step 5: Solve for x
    x = 416,554,593,207.63/721,878
  6. Step 6: Final answer
    x = 577,042.93

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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.