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Finding the Fourth Proportional to 357,814.62, 493,788 and 194,471.12

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Solution

The fourth proportional to 357,814.62, 493,788 and 194,471.12 is: 268,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,814.62 : 493,788 = 194,471.12 : x
  2. Step 2: Convert to fraction form
    357,814.62/493,788 = 194,471.12/x
  3. Step 3: Cross multiply
    357,814.62x = 493,788 × 194,471.12
  4. Step 4: Simplify right side
    357,814.62x = 96,027,505,402.56
  5. Step 5: Solve for x
    x = 96,027,505,402.56/357,814.62
  6. Step 6: Final answer
    x = 268,372.22

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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.