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Finding the Fourth Proportional to 512,369.40, 707,015.04 and 297,469.10

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Solution

The fourth proportional to 512,369.40, 707,015.04 and 297,469.10 is: 410,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,369.40 : 707,015.04 = 297,469.10 : x
  2. Step 2: Convert to fraction form
    512,369.40/707,015.04 = 297,469.10/x
  3. Step 3: Cross multiply
    512,369.40x = 707,015.04 × 297,469.10
  4. Step 4: Simplify right side
    512,369.40x = 210,315,127,635.26
  5. Step 5: Solve for x
    x = 210,315,127,635.26/512,369.40
  6. Step 6: Final answer
    x = 410,475.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.