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Finding the Fourth Proportional to 512,943.12, 769,570.20 and 363,473.01

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Solution

The fourth proportional to 512,943.12, 769,570.20 and 363,473.01 is: 545,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,943.12 : 769,570.20 = 363,473.01 : x
  2. Step 2: Convert to fraction form
    512,943.12/769,570.20 = 363,473.01/x
  3. Step 3: Cross multiply
    512,943.12x = 769,570.20 × 363,473.01
  4. Step 4: Simplify right side
    512,943.12x = 279,717,997,000.30
  5. Step 5: Solve for x
    x = 279,717,997,000.30/512,943.12
  6. Step 6: Final answer
    x = 545,319.72

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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.