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Finding the Fourth Proportional to 356,213.70, 534,154.43 and 206,496.81

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Solution

The fourth proportional to 356,213.70, 534,154.43 and 206,496.81 is: 309,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,213.70 : 534,154.43 = 206,496.81 : x
  2. Step 2: Convert to fraction form
    356,213.70/534,154.43 = 206,496.81/x
  3. Step 3: Cross multiply
    356,213.70x = 534,154.43 × 206,496.81
  4. Step 4: Simplify right side
    356,213.70x = 110,301,186,358.61
  5. Step 5: Solve for x
    x = 110,301,186,358.61/356,213.70
  6. Step 6: Final answer
    x = 309,648.92

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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.