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Finding the Fourth Proportional to 206,038.37, 309,531.24 and 145,388.19

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Solution

The fourth proportional to 206,038.37, 309,531.24 and 145,388.19 is: 218,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,038.37 : 309,531.24 = 145,388.19 : x
  2. Step 2: Convert to fraction form
    206,038.37/309,531.24 = 145,388.19/x
  3. Step 3: Cross multiply
    206,038.37x = 309,531.24 × 145,388.19
  4. Step 4: Simplify right side
    206,038.37x = 45,002,186,732.06
  5. Step 5: Solve for x
    x = 45,002,186,732.06/206,038.37
  6. Step 6: Final answer
    x = 218,416.53

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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.