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Finding the Fourth Proportional to 500,381.57, 690,499.22 and 293,622.12

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Solution

The fourth proportional to 500,381.57, 690,499.22 and 293,622.12 is: 405,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,381.57 : 690,499.22 = 293,622.12 : x
  2. Step 2: Convert to fraction form
    500,381.57/690,499.22 = 293,622.12/x
  3. Step 3: Cross multiply
    500,381.57x = 690,499.22 × 293,622.12
  4. Step 4: Simplify right side
    500,381.57x = 202,745,843,366.64
  5. Step 5: Solve for x
    x = 202,745,843,366.64/500,381.57
  6. Step 6: Final answer
    x = 405,182.47

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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.