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Finding the Fourth Proportional to 208,840.68, 312,731.11 and 175,017.78

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Solution

The fourth proportional to 208,840.68, 312,731.11 and 175,017.78 is: 262,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,840.68 : 312,731.11 = 175,017.78 : x
  2. Step 2: Convert to fraction form
    208,840.68/312,731.11 = 175,017.78/x
  3. Step 3: Cross multiply
    208,840.68x = 312,731.11 × 175,017.78
  4. Step 4: Simplify right side
    208,840.68x = 54,733,504,827.91
  5. Step 5: Solve for x
    x = 54,733,504,827.91/208,840.68
  6. Step 6: Final answer
    x = 262,082.58

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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.