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Finding the Fourth Proportional to 290,764.80, 436,096.44 and 77,535.36

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Solution

The fourth proportional to 290,764.80, 436,096.44 and 77,535.36 is: 116,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,764.80 : 436,096.44 = 77,535.36 : x
  2. Step 2: Convert to fraction form
    290,764.80/436,096.44 = 77,535.36/x
  3. Step 3: Cross multiply
    290,764.80x = 436,096.44 × 77,535.36
  4. Step 4: Simplify right side
    290,764.80x = 33,812,894,470.12
  5. Step 5: Solve for x
    x = 33,812,894,470.12/290,764.80
  6. Step 6: Final answer
    x = 116,289.50

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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.