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Finding the Fourth Proportional to 309,232.60, 463,892.10 and 131,738.20

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Solution

The fourth proportional to 309,232.60, 463,892.10 and 131,738.20 is: 197,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,232.60 : 463,892.10 = 131,738.20 : x
  2. Step 2: Convert to fraction form
    309,232.60/463,892.10 = 131,738.20/x
  3. Step 3: Cross multiply
    309,232.60x = 463,892.10 × 131,738.20
  4. Step 4: Simplify right side
    309,232.60x = 61,112,310,248.22
  5. Step 5: Solve for x
    x = 61,112,310,248.22/309,232.60
  6. Step 6: Final answer
    x = 197,625.70

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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.