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Finding the Fourth Proportional to 305,798.77, 458,662.48 and 81,176.66

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Solution

The fourth proportional to 305,798.77, 458,662.48 and 81,176.66 is: 121,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,798.77 : 458,662.48 = 81,176.66 : x
  2. Step 2: Convert to fraction form
    305,798.77/458,662.48 = 81,176.66/x
  3. Step 3: Cross multiply
    305,798.77x = 458,662.48 × 81,176.66
  4. Step 4: Simplify right side
    305,798.77x = 37,232,685,697.46
  5. Step 5: Solve for x
    x = 37,232,685,697.46/305,798.77
  6. Step 6: Final answer
    x = 121,755.51

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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.