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Finding the Fourth Proportional to 289,349.56, 399,298.06 and 160,287.64

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Solution

The fourth proportional to 289,349.56, 399,298.06 and 160,287.64 is: 221,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,349.56 : 399,298.06 = 160,287.64 : x
  2. Step 2: Convert to fraction form
    289,349.56/399,298.06 = 160,287.64/x
  3. Step 3: Cross multiply
    289,349.56x = 399,298.06 × 160,287.64
  4. Step 4: Simplify right side
    289,349.56x = 64,002,541,994.47
  5. Step 5: Solve for x
    x = 64,002,541,994.47/289,349.56
  6. Step 6: Final answer
    x = 221,194.54

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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.