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Finding the Fourth Proportional to 271,709.70, 407,564.55 and 209,501.70

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Solution

The fourth proportional to 271,709.70, 407,564.55 and 209,501.70 is: 314,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,709.70 : 407,564.55 = 209,501.70 : x
  2. Step 2: Convert to fraction form
    271,709.70/407,564.55 = 209,501.70/x
  3. Step 3: Cross multiply
    271,709.70x = 407,564.55 × 209,501.70
  4. Step 4: Simplify right side
    271,709.70x = 85,385,466,084.74
  5. Step 5: Solve for x
    x = 85,385,466,084.74/271,709.70
  6. Step 6: Final answer
    x = 314,252.55

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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.