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Finding the Fourth Proportional to 208,546.70, 312,823.10 and 144,441.62

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Solution

The fourth proportional to 208,546.70, 312,823.10 and 144,441.62 is: 216,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,546.70 : 312,823.10 = 144,441.62 : x
  2. Step 2: Convert to fraction form
    208,546.70/312,823.10 = 144,441.62/x
  3. Step 3: Cross multiply
    208,546.70x = 312,823.10 × 144,441.62
  4. Step 4: Simplify right side
    208,546.70x = 45,184,675,337.42
  5. Step 5: Solve for x
    x = 45,184,675,337.42/208,546.70
  6. Step 6: Final answer
    x = 216,664.54

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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.