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Finding the Fourth Proportional to 290,019.96, 434,978.10 and 184,525.56

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Solution

The fourth proportional to 290,019.96, 434,978.10 and 184,525.56 is: 276,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,019.96 : 434,978.10 = 184,525.56 : x
  2. Step 2: Convert to fraction form
    290,019.96/434,978.10 = 184,525.56/x
  3. Step 3: Cross multiply
    290,019.96x = 434,978.10 × 184,525.56
  4. Step 4: Simplify right side
    290,019.96x = 80,264,577,490.24
  5. Step 5: Solve for x
    x = 80,264,577,490.24/290,019.96
  6. Step 6: Final answer
    x = 276,755.36

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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.