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Finding the Fourth Proportional to 309,159.64, 463,914.96 and 131,648.14

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Solution

The fourth proportional to 309,159.64, 463,914.96 and 131,648.14 is: 197,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,159.64 : 463,914.96 = 131,648.14 : x
  2. Step 2: Convert to fraction form
    309,159.64/463,914.96 = 131,648.14/x
  3. Step 3: Cross multiply
    309,159.64x = 463,914.96 × 131,648.14
  4. Step 4: Simplify right side
    309,159.64x = 61,073,541,602.17
  5. Step 5: Solve for x
    x = 61,073,541,602.17/309,159.64
  6. Step 6: Final answer
    x = 197,546.94

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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.