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Finding the Fourth Proportional to 206,266.28, 309,399.70 and 56,507.90

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Solution

The fourth proportional to 206,266.28, 309,399.70 and 56,507.90 is: 84,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,266.28 : 309,399.70 = 56,507.90 : x
  2. Step 2: Convert to fraction form
    206,266.28/309,399.70 = 56,507.90/x
  3. Step 3: Cross multiply
    206,266.28x = 309,399.70 × 56,507.90
  4. Step 4: Simplify right side
    206,266.28x = 17,483,527,307.63
  5. Step 5: Solve for x
    x = 17,483,527,307.63/206,266.28
  6. Step 6: Final answer
    x = 84,761.93

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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.