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Finding the Fourth Proportional to 384,156.53, 576,234.93 and 103,673.78

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Solution

The fourth proportional to 384,156.53, 576,234.93 and 103,673.78 is: 155,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,156.53 : 576,234.93 = 103,673.78 : x
  2. Step 2: Convert to fraction form
    384,156.53/576,234.93 = 103,673.78/x
  3. Step 3: Cross multiply
    384,156.53x = 576,234.93 × 103,673.78
  4. Step 4: Simplify right side
    384,156.53x = 59,740,453,361.14
  5. Step 5: Solve for x
    x = 59,740,453,361.14/384,156.53
  6. Step 6: Final answer
    x = 155,510.71

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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.