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Finding the Fourth Proportional to 290,391.30, 435,586.04 and 77,180.67

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Solution

The fourth proportional to 290,391.30, 435,586.04 and 77,180.67 is: 115,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,391.30 : 435,586.04 = 77,180.67 : x
  2. Step 2: Convert to fraction form
    290,391.30/435,586.04 = 77,180.67/x
  3. Step 3: Cross multiply
    290,391.30x = 435,586.04 × 77,180.67
  4. Step 4: Simplify right side
    290,391.30x = 33,618,823,864.06
  5. Step 5: Solve for x
    x = 33,618,823,864.06/290,391.30
  6. Step 6: Final answer
    x = 115,770.77

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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.