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Finding the Fourth Proportional to 512,729.64, 767,579.90 and 378,720.04

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Solution

The fourth proportional to 512,729.64, 767,579.90 and 378,720.04 is: 566,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,729.64 : 767,579.90 = 378,720.04 : x
  2. Step 2: Convert to fraction form
    512,729.64/767,579.90 = 378,720.04/x
  3. Step 3: Cross multiply
    512,729.64x = 767,579.90 × 378,720.04
  4. Step 4: Simplify right side
    512,729.64x = 290,697,890,431.20
  5. Step 5: Solve for x
    x = 290,697,890,431.20/512,729.64
  6. Step 6: Final answer
    x = 566,961.35

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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.