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Finding the Fourth Proportional to 512,522.10, 768,783.15 and 488,027.70

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Solution

The fourth proportional to 512,522.10, 768,783.15 and 488,027.70 is: 732,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,522.10 : 768,783.15 = 488,027.70 : x
  2. Step 2: Convert to fraction form
    512,522.10/768,783.15 = 488,027.70/x
  3. Step 3: Cross multiply
    512,522.10x = 768,783.15 × 488,027.70
  4. Step 4: Simplify right side
    512,522.10x = 375,187,472,493.26
  5. Step 5: Solve for x
    x = 375,187,472,493.26/512,522.10
  6. Step 6: Final answer
    x = 732,041.55

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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.