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Finding the Fourth Proportional to 290,394.30, 435,590.54 and 77,183.67

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Solution

The fourth proportional to 290,394.30, 435,590.54 and 77,183.67 is: 115,775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,394.30 : 435,590.54 = 77,183.67 : x
  2. Step 2: Convert to fraction form
    290,394.30/435,590.54 = 77,183.67/x
  3. Step 3: Cross multiply
    290,394.30x = 435,590.54 × 77,183.67
  4. Step 4: Simplify right side
    290,394.30x = 33,620,476,494.48
  5. Step 5: Solve for x
    x = 33,620,476,494.48/290,394.30
  6. Step 6: Final answer
    x = 115,775.26

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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.