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Finding the Fourth Proportional to 385,408.60, 578,112.90 and 356,540.20

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Solution

The fourth proportional to 385,408.60, 578,112.90 and 356,540.20 is: 534,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,408.60 : 578,112.90 = 356,540.20 : x
  2. Step 2: Convert to fraction form
    385,408.60/578,112.90 = 356,540.20/x
  3. Step 3: Cross multiply
    385,408.60x = 578,112.90 × 356,540.20
  4. Step 4: Simplify right side
    385,408.60x = 206,120,488,988.58
  5. Step 5: Solve for x
    x = 206,120,488,988.58/385,408.60
  6. Step 6: Final answer
    x = 534,810.30

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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.