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Finding the Fourth Proportional to 318,896.78, 478,345.77 and 299,410.61

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Solution

The fourth proportional to 318,896.78, 478,345.77 and 299,410.61 is: 449,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,896.78 : 478,345.77 = 299,410.61 : x
  2. Step 2: Convert to fraction form
    318,896.78/478,345.77 = 299,410.61/x
  3. Step 3: Cross multiply
    318,896.78x = 478,345.77 × 299,410.61
  4. Step 4: Simplify right side
    318,896.78x = 143,221,798,786.62
  5. Step 5: Solve for x
    x = 143,221,798,786.62/318,896.78
  6. Step 6: Final answer
    x = 449,116.48

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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.