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Finding the Fourth Proportional to 290,151.34, 435,176.85 and 76,920.66

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Solution

The fourth proportional to 290,151.34, 435,176.85 and 76,920.66 is: 115,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,151.34 : 435,176.85 = 76,920.66 : x
  2. Step 2: Convert to fraction form
    290,151.34/435,176.85 = 76,920.66/x
  3. Step 3: Cross multiply
    290,151.34x = 435,176.85 × 76,920.66
  4. Step 4: Simplify right side
    290,151.34x = 33,474,090,518.72
  5. Step 5: Solve for x
    x = 33,474,090,518.72/290,151.34
  6. Step 6: Final answer
    x = 115,367.69

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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.