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Finding the Fourth Proportional to 289,173.62, 399,055.46 and 160,099.72

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Solution

The fourth proportional to 289,173.62, 399,055.46 and 160,099.72 is: 220,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,173.62 : 399,055.46 = 160,099.72 : x
  2. Step 2: Convert to fraction form
    289,173.62/399,055.46 = 160,099.72/x
  3. Step 3: Cross multiply
    289,173.62x = 399,055.46 × 160,099.72
  4. Step 4: Simplify right side
    289,173.62x = 63,888,667,410.47
  5. Step 5: Solve for x
    x = 63,888,667,410.47/289,173.62
  6. Step 6: Final answer
    x = 220,935.32

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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.