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Finding the Fourth Proportional to 289,464.22, 434,367.24 and 161,488

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Solution

The fourth proportional to 289,464.22, 434,367.24 and 161,488 is: 242,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,464.22 : 434,367.24 = 161,488 : x
  2. Step 2: Convert to fraction form
    289,464.22/434,367.24 = 161,488/x
  3. Step 3: Cross multiply
    289,464.22x = 434,367.24 × 161,488
  4. Step 4: Simplify right side
    289,464.22x = 70,145,096,853.12
  5. Step 5: Solve for x
    x = 70,145,096,853.12/289,464.22
  6. Step 6: Final answer
    x = 242,327.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.