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Finding the Fourth Proportional to 289,650.76, 399,741.72 and 160,629.64

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Solution

The fourth proportional to 289,650.76, 399,741.72 and 160,629.64 is: 221,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,650.76 : 399,741.72 = 160,629.64 : x
  2. Step 2: Convert to fraction form
    289,650.76/399,741.72 = 160,629.64/x
  3. Step 3: Cross multiply
    289,650.76x = 399,741.72 × 160,629.64
  4. Step 4: Simplify right side
    289,650.76x = 64,210,366,974.87
  5. Step 5: Solve for x
    x = 64,210,366,974.87/289,650.76
  6. Step 6: Final answer
    x = 221,682.03

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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.