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Finding the Fourth Proportional to 305,800.77, 458,665.48 and 81,178.66

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Solution

The fourth proportional to 305,800.77, 458,665.48 and 81,178.66 is: 121,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,800.77 : 458,665.48 = 81,178.66 : x
  2. Step 2: Convert to fraction form
    305,800.77/458,665.48 = 81,178.66/x
  3. Step 3: Cross multiply
    305,800.77x = 458,665.48 × 81,178.66
  4. Step 4: Simplify right side
    305,800.77x = 37,233,849,054.66
  5. Step 5: Solve for x
    x = 37,233,849,054.66/305,800.77
  6. Step 6: Final answer
    x = 121,758.52

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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.