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Finding the Fourth Proportional to 306,297, 422,689.32 and 170,327.16

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Solution

The fourth proportional to 306,297, 422,689.32 and 170,327.16 is: 235,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,297 : 422,689.32 = 170,327.16 : x
  2. Step 2: Convert to fraction form
    306,297/422,689.32 = 170,327.16/x
  3. Step 3: Cross multiply
    306,297x = 422,689.32 × 170,327.16
  4. Step 4: Simplify right side
    306,297x = 71,995,471,437.93
  5. Step 5: Solve for x
    x = 71,995,471,437.93/306,297
  6. Step 6: Final answer
    x = 235,051.18

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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.