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Finding the Fourth Proportional to 306,053.54, 422,354.75 and 170,087.07

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Solution

The fourth proportional to 306,053.54, 422,354.75 and 170,087.07 is: 234,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,053.54 : 422,354.75 = 170,087.07 : x
  2. Step 2: Convert to fraction form
    306,053.54/422,354.75 = 170,087.07/x
  3. Step 3: Cross multiply
    306,053.54x = 422,354.75 × 170,087.07
  4. Step 4: Simplify right side
    306,053.54x = 71,837,081,077.65
  5. Step 5: Solve for x
    x = 71,837,081,077.65/306,053.54
  6. Step 6: Final answer
    x = 234,720.64

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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.