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Finding the Fourth Proportional to 477,178.89, 715,749.63 and 161,635.79

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Solution

The fourth proportional to 477,178.89, 715,749.63 and 161,635.79 is: 242,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,178.89 : 715,749.63 = 161,635.79 : x
  2. Step 2: Convert to fraction form
    477,178.89/715,749.63 = 161,635.79/x
  3. Step 3: Cross multiply
    477,178.89x = 715,749.63 × 161,635.79
  4. Step 4: Simplify right side
    477,178.89x = 115,690,753,308.51
  5. Step 5: Solve for x
    x = 115,690,753,308.51/477,178.89
  6. Step 6: Final answer
    x = 242,447.34

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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.