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Finding the Fourth Proportional to 289,253.02, 399,170.74 and 160,195.72

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Solution

The fourth proportional to 289,253.02, 399,170.74 and 160,195.72 is: 221,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253.02 : 399,170.74 = 160,195.72 : x
  2. Step 2: Convert to fraction form
    289,253.02/399,170.74 = 160,195.72/x
  3. Step 3: Cross multiply
    289,253.02x = 399,170.74 × 160,195.72
  4. Step 4: Simplify right side
    289,253.02x = 63,945,444,097.23
  5. Step 5: Solve for x
    x = 63,945,444,097.23/289,253.02
  6. Step 6: Final answer
    x = 221,070.96

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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.