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Finding the Fourth Proportional to 302,306, 417,182.69 and 168,170

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Solution

The fourth proportional to 302,306, 417,182.69 and 168,170 is: 232,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,306 : 417,182.69 = 168,170 : x
  2. Step 2: Convert to fraction form
    302,306/417,182.69 = 168,170/x
  3. Step 3: Cross multiply
    302,306x = 417,182.69 × 168,170
  4. Step 4: Simplify right side
    302,306x = 70,157,612,136.45
  5. Step 5: Solve for x
    x = 70,157,612,136.45/302,306
  6. Step 6: Final answer
    x = 232,074.83

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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.