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Finding the Fourth Proportional to 513,214.40, 768,266.40 and 387,761.60

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Solution

The fourth proportional to 513,214.40, 768,266.40 and 387,761.60 is: 580,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,214.40 : 768,266.40 = 387,761.60 : x
  2. Step 2: Convert to fraction form
    513,214.40/768,266.40 = 387,761.60/x
  3. Step 3: Cross multiply
    513,214.40x = 768,266.40 × 387,761.60
  4. Step 4: Simplify right side
    513,214.40x = 297,904,208,490.24
  5. Step 5: Solve for x
    x = 297,904,208,490.24/513,214.40
  6. Step 6: Final answer
    x = 580,467.36

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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.