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Finding the Fourth Proportional to 400,288.42, 600,505.38 and 189,924.40

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Solution

The fourth proportional to 400,288.42, 600,505.38 and 189,924.40 is: 284,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,288.42 : 600,505.38 = 189,924.40 : x
  2. Step 2: Convert to fraction form
    400,288.42/600,505.38 = 189,924.40/x
  3. Step 3: Cross multiply
    400,288.42x = 600,505.38 × 189,924.40
  4. Step 4: Simplify right side
    400,288.42x = 114,050,623,993.27
  5. Step 5: Solve for x
    x = 114,050,623,993.27/400,288.42
  6. Step 6: Final answer
    x = 284,921.12

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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.