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Finding the Fourth Proportional to 257,145.84, 385,047.81 and 206,951.76

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Solution

The fourth proportional to 257,145.84, 385,047.81 and 206,951.76 is: 309,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,145.84 : 385,047.81 = 206,951.76 : x
  2. Step 2: Convert to fraction form
    257,145.84/385,047.81 = 206,951.76/x
  3. Step 3: Cross multiply
    257,145.84x = 385,047.81 × 206,951.76
  4. Step 4: Simplify right side
    257,145.84x = 79,686,321,963.65
  5. Step 5: Solve for x
    x = 79,686,321,963.65/257,145.84
  6. Step 6: Final answer
    x = 309,887.66

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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.