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Finding the Fourth Proportional to 278,960.91, 385,151.43 and 214,315.01

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Solution

The fourth proportional to 278,960.91, 385,151.43 and 214,315.01 is: 295,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,960.91 : 385,151.43 = 214,315.01 : x
  2. Step 2: Convert to fraction form
    278,960.91/385,151.43 = 214,315.01/x
  3. Step 3: Cross multiply
    278,960.91x = 385,151.43 × 214,315.01
  4. Step 4: Simplify right side
    278,960.91x = 82,543,732,571.96
  5. Step 5: Solve for x
    x = 82,543,732,571.96/278,960.91
  6. Step 6: Final answer
    x = 295,897.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.