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Finding the Fourth Proportional to 361,605.70, 542,408.55 and 228,895.30

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Solution

The fourth proportional to 361,605.70, 542,408.55 and 228,895.30 is: 343,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,605.70 : 542,408.55 = 228,895.30 : x
  2. Step 2: Convert to fraction form
    361,605.70/542,408.55 = 228,895.30/x
  3. Step 3: Cross multiply
    361,605.70x = 542,408.55 × 228,895.30
  4. Step 4: Simplify right side
    361,605.70x = 124,154,767,774.82
  5. Step 5: Solve for x
    x = 124,154,767,774.82/361,605.70
  6. Step 6: Final answer
    x = 343,342.95

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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.