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Finding the Fourth Proportional to 203,477.10, 305,215.65 and 173,409.90

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Solution

The fourth proportional to 203,477.10, 305,215.65 and 173,409.90 is: 260,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,477.10 : 305,215.65 = 173,409.90 : x
  2. Step 2: Convert to fraction form
    203,477.10/305,215.65 = 173,409.90/x
  3. Step 3: Cross multiply
    203,477.10x = 305,215.65 × 173,409.90
  4. Step 4: Simplify right side
    203,477.10x = 52,927,415,344.94
  5. Step 5: Solve for x
    x = 52,927,415,344.94/203,477.10
  6. Step 6: Final answer
    x = 260,114.85

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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.