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Finding the Fourth Proportional to 290,135.83, 435,183.17 and 76,899.01

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Solution

The fourth proportional to 290,135.83, 435,183.17 and 76,899.01 is: 115,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,135.83 : 435,183.17 = 76,899.01 : x
  2. Step 2: Convert to fraction form
    290,135.83/435,183.17 = 76,899.01/x
  3. Step 3: Cross multiply
    290,135.83x = 435,183.17 × 76,899.01
  4. Step 4: Simplify right side
    290,135.83x = 33,465,154,941.66
  5. Step 5: Solve for x
    x = 33,465,154,941.66/290,135.83
  6. Step 6: Final answer
    x = 115,343.06

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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.