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Finding the Fourth Proportional to 290,605.83, 435,908.13 and 80,243.16

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Solution

The fourth proportional to 290,605.83, 435,908.13 and 80,243.16 is: 120,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,605.83 : 435,908.13 = 80,243.16 : x
  2. Step 2: Convert to fraction form
    290,605.83/435,908.13 = 80,243.16/x
  3. Step 3: Cross multiply
    290,605.83x = 435,908.13 × 80,243.16
  4. Step 4: Simplify right side
    290,605.83x = 34,978,644,336.69
  5. Step 5: Solve for x
    x = 34,978,644,336.69/290,605.83
  6. Step 6: Final answer
    x = 120,364.57

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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.