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Finding the Fourth Proportional to 385,941.96, 532,591.92 and 213,858.42

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Solution

The fourth proportional to 385,941.96, 532,591.92 and 213,858.42 is: 295,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,941.96 : 532,591.92 = 213,858.42 : x
  2. Step 2: Convert to fraction form
    385,941.96/532,591.92 = 213,858.42/x
  3. Step 3: Cross multiply
    385,941.96x = 532,591.92 × 213,858.42
  4. Step 4: Simplify right side
    385,941.96x = 113,899,264,518.75
  5. Step 5: Solve for x
    x = 113,899,264,518.75/385,941.96
  6. Step 6: Final answer
    x = 295,120.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.