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Finding the Fourth Proportional to 289,661.56, 399,748.74 and 162,378.04

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Solution

The fourth proportional to 289,661.56, 399,748.74 and 162,378.04 is: 224,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,661.56 : 399,748.74 = 162,378.04 : x
  2. Step 2: Convert to fraction form
    289,661.56/399,748.74 = 162,378.04/x
  3. Step 3: Cross multiply
    289,661.56x = 399,748.74 × 162,378.04
  4. Step 4: Simplify right side
    289,661.56x = 64,910,416,893.67
  5. Step 5: Solve for x
    x = 64,910,416,893.67/289,661.56
  6. Step 6: Final answer
    x = 224,090.55

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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.