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Finding the Fourth Proportional to 289,211.64, 399,120.32 and 161,887.72

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Solution

The fourth proportional to 289,211.64, 399,120.32 and 161,887.72 is: 223,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,211.64 : 399,120.32 = 161,887.72 : x
  2. Step 2: Convert to fraction form
    289,211.64/399,120.32 = 161,887.72/x
  3. Step 3: Cross multiply
    289,211.64x = 399,120.32 × 161,887.72
  4. Step 4: Simplify right side
    289,211.64x = 64,612,678,610.47
  5. Step 5: Solve for x
    x = 64,612,678,610.47/289,211.64
  6. Step 6: Final answer
    x = 223,409.68

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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.