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Finding the Fourth Proportional to 381,078.42, 525,850.32 and 219,985.35

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Solution

The fourth proportional to 381,078.42, 525,850.32 and 219,985.35 is: 303,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,078.42 : 525,850.32 = 219,985.35 : x
  2. Step 2: Convert to fraction form
    381,078.42/525,850.32 = 219,985.35/x
  3. Step 3: Cross multiply
    381,078.42x = 525,850.32 × 219,985.35
  4. Step 4: Simplify right side
    381,078.42x = 115,679,366,692.81
  5. Step 5: Solve for x
    x = 115,679,366,692.81/381,078.42
  6. Step 6: Final answer
    x = 303,557.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.