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Finding the Fourth Proportional to 309,698.39, 464,546.64 and 85,059.02

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Solution

The fourth proportional to 309,698.39, 464,546.64 and 85,059.02 is: 127,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,698.39 : 464,546.64 = 85,059.02 : x
  2. Step 2: Convert to fraction form
    309,698.39/464,546.64 = 85,059.02/x
  3. Step 3: Cross multiply
    309,698.39x = 464,546.64 × 85,059.02
  4. Step 4: Simplify right side
    309,698.39x = 39,513,881,942.69
  5. Step 5: Solve for x
    x = 39,513,881,942.69/309,698.39
  6. Step 6: Final answer
    x = 127,588.27

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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.