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Finding the Fourth Proportional to 290,021.96, 434,981.10 and 184,527.56

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Solution

The fourth proportional to 290,021.96, 434,981.10 and 184,527.56 is: 276,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,021.96 : 434,981.10 = 184,527.56 : x
  2. Step 2: Convert to fraction form
    290,021.96/434,981.10 = 184,527.56/x
  3. Step 3: Cross multiply
    290,021.96x = 434,981.10 × 184,527.56
  4. Step 4: Simplify right side
    290,021.96x = 80,266,001,029.12
  5. Step 5: Solve for x
    x = 80,266,001,029.12/290,021.96
  6. Step 6: Final answer
    x = 276,758.36

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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.