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Finding the Fourth Proportional to 385,017.32, 577,408.26 and 135,641

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Solution

The fourth proportional to 385,017.32, 577,408.26 and 135,641 is: 203,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,017.32 : 577,408.26 = 135,641 : x
  2. Step 2: Convert to fraction form
    385,017.32/577,408.26 = 135,641/x
  3. Step 3: Cross multiply
    385,017.32x = 577,408.26 × 135,641
  4. Step 4: Simplify right side
    385,017.32x = 78,320,233,794.66
  5. Step 5: Solve for x
    x = 78,320,233,794.66/385,017.32
  6. Step 6: Final answer
    x = 203,420.03

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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.