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Finding the Fourth Proportional to 306,950.56, 423,657.12 and 206,290.24

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Solution

The fourth proportional to 306,950.56, 423,657.12 and 206,290.24 is: 284,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,950.56 : 423,657.12 = 206,290.24 : x
  2. Step 2: Convert to fraction form
    306,950.56/423,657.12 = 206,290.24/x
  3. Step 3: Cross multiply
    306,950.56x = 423,657.12 × 206,290.24
  4. Step 4: Simplify right side
    306,950.56x = 87,396,328,962.51
  5. Step 5: Solve for x
    x = 87,396,328,962.51/306,950.56
  6. Step 6: Final answer
    x = 284,724.45

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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.