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Finding the Fourth Proportional to 302,447.79, 417,374.55 and 166,478.76

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Solution

The fourth proportional to 302,447.79, 417,374.55 and 166,478.76 is: 229,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,447.79 : 417,374.55 = 166,478.76 : x
  2. Step 2: Convert to fraction form
    302,447.79/417,374.55 = 166,478.76/x
  3. Step 3: Cross multiply
    302,447.79x = 417,374.55 × 166,478.76
  4. Step 4: Simplify right side
    302,447.79x = 69,483,997,539.56
  5. Step 5: Solve for x
    x = 69,483,997,539.56/302,447.79
  6. Step 6: Final answer
    x = 229,738.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.