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Finding the Fourth Proportional to 289,322.40, 434,048.40 and 111,813.60

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Solution

The fourth proportional to 289,322.40, 434,048.40 and 111,813.60 is: 167,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,322.40 : 434,048.40 = 111,813.60 : x
  2. Step 2: Convert to fraction form
    289,322.40/434,048.40 = 111,813.60/x
  3. Step 3: Cross multiply
    289,322.40x = 434,048.40 × 111,813.60
  4. Step 4: Simplify right side
    289,322.40x = 48,532,514,178.24
  5. Step 5: Solve for x
    x = 48,532,514,178.24/289,322.40
  6. Step 6: Final answer
    x = 167,745.44

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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.