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Finding the Fourth Proportional to 288,980.88, 433,427.58 and 78,635.22

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Solution

The fourth proportional to 288,980.88, 433,427.58 and 78,635.22 is: 117,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,980.88 : 433,427.58 = 78,635.22 : x
  2. Step 2: Convert to fraction form
    288,980.88/433,427.58 = 78,635.22/x
  3. Step 3: Cross multiply
    288,980.88x = 433,427.58 × 78,635.22
  4. Step 4: Simplify right side
    288,980.88x = 34,082,673,107.37
  5. Step 5: Solve for x
    x = 34,082,673,107.37/288,980.88
  6. Step 6: Final answer
    x = 117,940.93

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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.