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Finding the Fourth Proportional to 290,766.99, 436,171.32 and 77,533.80

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Solution

The fourth proportional to 290,766.99, 436,171.32 and 77,533.80 is: 116,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,766.99 : 436,171.32 = 77,533.80 : x
  2. Step 2: Convert to fraction form
    290,766.99/436,171.32 = 77,533.80/x
  3. Step 3: Cross multiply
    290,766.99x = 436,171.32 × 77,533.80
  4. Step 4: Simplify right side
    290,766.99x = 33,818,019,890.62
  5. Step 5: Solve for x
    x = 33,818,019,890.62/290,766.99
  6. Step 6: Final answer
    x = 116,306.26

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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.