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Finding the Fourth Proportional to 289,782.09, 399,861.20 and 160,719.02

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Solution

The fourth proportional to 289,782.09, 399,861.20 and 160,719.02 is: 221,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,782.09 : 399,861.20 = 160,719.02 : x
  2. Step 2: Convert to fraction form
    289,782.09/399,861.20 = 160,719.02/x
  3. Step 3: Cross multiply
    289,782.09x = 399,861.20 × 160,719.02
  4. Step 4: Simplify right side
    289,782.09x = 64,265,300,200.02
  5. Step 5: Solve for x
    x = 64,265,300,200.02/289,782.09
  6. Step 6: Final answer
    x = 221,771.13

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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.