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Finding the Fourth Proportional to 384,142.35, 576,213.53 and 103,659.15

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Solution

The fourth proportional to 384,142.35, 576,213.53 and 103,659.15 is: 155,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,142.35 : 576,213.53 = 103,659.15 : x
  2. Step 2: Convert to fraction form
    384,142.35/576,213.53 = 103,659.15/x
  3. Step 3: Cross multiply
    384,142.35x = 576,213.53 × 103,659.15
  4. Step 4: Simplify right side
    384,142.35x = 59,729,804,220.00
  5. Step 5: Solve for x
    x = 59,729,804,220.00/384,142.35
  6. Step 6: Final answer
    x = 155,488.73

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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.