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Finding the Fourth Proportional to 289,464.72, 434,367.99 and 161,488.50

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Solution

The fourth proportional to 289,464.72, 434,367.99 and 161,488.50 is: 242,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,464.72 : 434,367.99 = 161,488.50 : x
  2. Step 2: Convert to fraction form
    289,464.72/434,367.99 = 161,488.50/x
  3. Step 3: Cross multiply
    289,464.72x = 434,367.99 × 161,488.50
  4. Step 4: Simplify right side
    289,464.72x = 70,145,435,153.12
  5. Step 5: Solve for x
    x = 70,145,435,153.12/289,464.72
  6. Step 6: Final answer
    x = 242,328.10

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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.