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Finding the Fourth Proportional to 290,406.51, 435,631.64 and 80,042.63

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Solution

The fourth proportional to 290,406.51, 435,631.64 and 80,042.63 is: 120,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,406.51 : 435,631.64 = 80,042.63 : x
  2. Step 2: Convert to fraction form
    290,406.51/435,631.64 = 80,042.63/x
  3. Step 3: Cross multiply
    290,406.51x = 435,631.64 × 80,042.63
  4. Step 4: Simplify right side
    290,406.51x = 34,869,099,598.44
  5. Step 5: Solve for x
    x = 34,869,099,598.44/290,406.51
  6. Step 6: Final answer
    x = 120,069.97

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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.