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Finding the Fourth Proportional to 306,354.69, 422,762.09 and 170,388.23

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Solution

The fourth proportional to 306,354.69, 422,762.09 and 170,388.23 is: 235,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,354.69 : 422,762.09 = 170,388.23 : x
  2. Step 2: Convert to fraction form
    306,354.69/422,762.09 = 170,388.23/x
  3. Step 3: Cross multiply
    306,354.69x = 422,762.09 × 170,388.23
  4. Step 4: Simplify right side
    306,354.69x = 72,033,681,260.45
  5. Step 5: Solve for x
    x = 72,033,681,260.45/306,354.69
  6. Step 6: Final answer
    x = 235,131.64

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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.