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Finding the Fourth Proportional to 290,841, 436,271.20 and 80,461.32

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Solution

The fourth proportional to 290,841, 436,271.20 and 80,461.32 is: 120,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,841 : 436,271.20 = 80,461.32 : x
  2. Step 2: Convert to fraction form
    290,841/436,271.20 = 80,461.32/x
  3. Step 3: Cross multiply
    290,841x = 436,271.20 × 80,461.32
  4. Step 4: Simplify right side
    290,841x = 35,102,956,629.98
  5. Step 5: Solve for x
    x = 35,102,956,629.98/290,841
  6. Step 6: Final answer
    x = 120,694.66

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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.