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Finding the Fourth Proportional to 720,996, 1,082,143.98 and 384,317.04

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Solution

The fourth proportional to 720,996, 1,082,143.98 and 384,317.04 is: 576,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,996 : 1,082,143.98 = 384,317.04 : x
  2. Step 2: Convert to fraction form
    720,996/1,082,143.98 = 384,317.04/x
  3. Step 3: Cross multiply
    720,996x = 1,082,143.98 × 384,317.04
  4. Step 4: Simplify right side
    720,996x = 415,886,371,247.42
  5. Step 5: Solve for x
    x = 415,886,371,247.42/720,996
  6. Step 6: Final answer
    x = 576,822.02

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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.