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Finding the Fourth Proportional to 384,241.50, 576,365.49 and 134,923.50

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Solution

The fourth proportional to 384,241.50, 576,365.49 and 134,923.50 is: 202,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,241.50 : 576,365.49 = 134,923.50 : x
  2. Step 2: Convert to fraction form
    384,241.50/576,365.49 = 134,923.50/x
  3. Step 3: Cross multiply
    384,241.50x = 576,365.49 × 134,923.50
  4. Step 4: Simplify right side
    384,241.50x = 77,765,249,190.02
  5. Step 5: Solve for x
    x = 77,765,249,190.02/384,241.50
  6. Step 6: Final answer
    x = 202,386.39

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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.