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Finding the Fourth Proportional to 306,380.13, 422,798.50 and 170,411.16

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Solution

The fourth proportional to 306,380.13, 422,798.50 and 170,411.16 is: 235,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,380.13 : 422,798.50 = 170,411.16 : x
  2. Step 2: Convert to fraction form
    306,380.13/422,798.50 = 170,411.16/x
  3. Step 3: Cross multiply
    306,380.13x = 422,798.50 × 170,411.16
  4. Step 4: Simplify right side
    306,380.13x = 72,049,582,831.26
  5. Step 5: Solve for x
    x = 72,049,582,831.26/306,380.13
  6. Step 6: Final answer
    x = 235,164.02

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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.