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Finding the Fourth Proportional to 290,271.75, 435,412.24 and 110,359.92

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Solution

The fourth proportional to 290,271.75, 435,412.24 and 110,359.92 is: 165,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,271.75 : 435,412.24 = 110,359.92 : x
  2. Step 2: Convert to fraction form
    290,271.75/435,412.24 = 110,359.92/x
  3. Step 3: Cross multiply
    290,271.75x = 435,412.24 × 110,359.92
  4. Step 4: Simplify right side
    290,271.75x = 48,052,059,697.52
  5. Step 5: Solve for x
    x = 48,052,059,697.52/290,271.75
  6. Step 6: Final answer
    x = 165,541.63

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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.