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Finding the Fourth Proportional to 289,244.12, 399,153.84 and 161,920.76

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Solution

The fourth proportional to 289,244.12, 399,153.84 and 161,920.76 is: 223,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,244.12 : 399,153.84 = 161,920.76 : x
  2. Step 2: Convert to fraction form
    289,244.12/399,153.84 = 161,920.76/x
  3. Step 3: Cross multiply
    289,244.12x = 399,153.84 × 161,920.76
  4. Step 4: Simplify right side
    289,244.12x = 64,631,293,129.72
  5. Step 5: Solve for x
    x = 64,631,293,129.72/289,244.12
  6. Step 6: Final answer
    x = 223,448.94

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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.