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Finding the Fourth Proportional to 384,155.53, 576,233.43 and 103,672.78

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Solution

The fourth proportional to 384,155.53, 576,233.43 and 103,672.78 is: 155,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,155.53 : 576,233.43 = 103,672.78 : x
  2. Step 2: Convert to fraction form
    384,155.53/576,233.43 = 103,672.78/x
  3. Step 3: Cross multiply
    384,155.53x = 576,233.43 × 103,672.78
  4. Step 4: Simplify right side
    384,155.53x = 59,739,721,617.04
  5. Step 5: Solve for x
    x = 59,739,721,617.04/384,155.53
  6. Step 6: Final answer
    x = 155,509.21

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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.