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Finding the Fourth Proportional to 289,325.20, 433,947.80 and 89,782.80

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Solution

The fourth proportional to 289,325.20, 433,947.80 and 89,782.80 is: 134,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,325.20 : 433,947.80 = 89,782.80 : x
  2. Step 2: Convert to fraction form
    289,325.20/433,947.80 = 89,782.80/x
  3. Step 3: Cross multiply
    289,325.20x = 433,947.80 × 89,782.80
  4. Step 4: Simplify right side
    289,325.20x = 38,961,048,537.84
  5. Step 5: Solve for x
    x = 38,961,048,537.84/289,325.20
  6. Step 6: Final answer
    x = 134,661.79

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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.