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Finding the Fourth Proportional to 306,029.81, 422,294.25 and 170,055.14

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Solution

The fourth proportional to 306,029.81, 422,294.25 and 170,055.14 is: 234,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,029.81 : 422,294.25 = 170,055.14 : x
  2. Step 2: Convert to fraction form
    306,029.81/422,294.25 = 170,055.14/x
  3. Step 3: Cross multiply
    306,029.81x = 422,294.25 × 170,055.14
  4. Step 4: Simplify right side
    306,029.81x = 71,813,307,804.95
  5. Step 5: Solve for x
    x = 71,813,307,804.95/306,029.81
  6. Step 6: Final answer
    x = 234,661.15

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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.