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Finding the Fourth Proportional to 493,166, 680,530.30 and 302,153.42

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Solution

The fourth proportional to 493,166, 680,530.30 and 302,153.42 is: 416,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,166 : 680,530.30 = 302,153.42 : x
  2. Step 2: Convert to fraction form
    493,166/680,530.30 = 302,153.42/x
  3. Step 3: Cross multiply
    493,166x = 680,530.30 × 302,153.42
  4. Step 4: Simplify right side
    493,166x = 205,624,557,558.63
  5. Step 5: Solve for x
    x = 205,624,557,558.63/493,166
  6. Step 6: Final answer
    x = 416,947.96

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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.