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Finding the Fourth Proportional to 302,407, 417,321.70 and 164,586.44

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Solution

The fourth proportional to 302,407, 417,321.70 and 164,586.44 is: 227,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,407 : 417,321.70 = 164,586.44 : x
  2. Step 2: Convert to fraction form
    302,407/417,321.70 = 164,586.44/x
  3. Step 3: Cross multiply
    302,407x = 417,321.70 × 164,586.44
  4. Step 4: Simplify right side
    302,407x = 68,685,492,937.75
  5. Step 5: Solve for x
    x = 68,685,492,937.75/302,407
  6. Step 6: Final answer
    x = 227,129.31

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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.