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Finding the Fourth Proportional to 384,741.87, 577,112.95 and 100,431.63

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Solution

The fourth proportional to 384,741.87, 577,112.95 and 100,431.63 is: 150,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,741.87 : 577,112.95 = 100,431.63 : x
  2. Step 2: Convert to fraction form
    384,741.87/577,112.95 = 100,431.63/x
  3. Step 3: Cross multiply
    384,741.87x = 577,112.95 × 100,431.63
  4. Step 4: Simplify right side
    384,741.87x = 57,960,394,388.15
  5. Step 5: Solve for x
    x = 57,960,394,388.15/384,741.87
  6. Step 6: Final answer
    x = 150,647.48

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Similar ratio
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1.5x scale

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.