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Finding the Fourth Proportional to 289,970.26, 400,158.12 and 160,928.20

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Solution

The fourth proportional to 289,970.26, 400,158.12 and 160,928.20 is: 222,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,970.26 : 400,158.12 = 160,928.20 : x
  2. Step 2: Convert to fraction form
    289,970.26/400,158.12 = 160,928.20/x
  3. Step 3: Cross multiply
    289,970.26x = 400,158.12 × 160,928.20
  4. Step 4: Simplify right side
    289,970.26x = 64,396,727,492.70
  5. Step 5: Solve for x
    x = 64,396,727,492.70/289,970.26
  6. Step 6: Final answer
    x = 222,080.46

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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.