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Finding the Fourth Proportional to 318,894.78, 478,342.77 and 299,408.61

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Solution

The fourth proportional to 318,894.78, 478,342.77 and 299,408.61 is: 449,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,894.78 : 478,342.77 = 299,408.61 : x
  2. Step 2: Convert to fraction form
    318,894.78/478,342.77 = 299,408.61/x
  3. Step 3: Cross multiply
    318,894.78x = 478,342.77 × 299,408.61
  4. Step 4: Simplify right side
    318,894.78x = 143,219,943,869.25
  5. Step 5: Solve for x
    x = 143,219,943,869.25/318,894.78
  6. Step 6: Final answer
    x = 449,113.48

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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.