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Finding the Fourth Proportional to 290,149.84, 435,174.60 and 76,919.16

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Solution

The fourth proportional to 290,149.84, 435,174.60 and 76,919.16 is: 115,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,149.84 : 435,174.60 = 76,919.16 : x
  2. Step 2: Convert to fraction form
    290,149.84/435,174.60 = 76,919.16/x
  3. Step 3: Cross multiply
    290,149.84x = 435,174.60 × 76,919.16
  4. Step 4: Simplify right side
    290,149.84x = 33,473,264,685.34
  5. Step 5: Solve for x
    x = 33,473,264,685.34/290,149.84
  6. Step 6: Final answer
    x = 115,365.44

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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.