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Finding the Fourth Proportional to 219,456.06, 302,728.10 and 178,664.07

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Solution

The fourth proportional to 219,456.06, 302,728.10 and 178,664.07 is: 246,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,456.06 : 302,728.10 = 178,664.07 : x
  2. Step 2: Convert to fraction form
    219,456.06/302,728.10 = 178,664.07/x
  3. Step 3: Cross multiply
    219,456.06x = 302,728.10 × 178,664.07
  4. Step 4: Simplify right side
    219,456.06x = 54,086,632,935.73
  5. Step 5: Solve for x
    x = 54,086,632,935.73/219,456.06
  6. Step 6: Final answer
    x = 246,457.69

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1.5x scale

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.