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Finding the Fourth Proportional to 319,490, 440,896.20 and 178,178

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Solution

The fourth proportional to 319,490, 440,896.20 and 178,178 is: 245,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,490 : 440,896.20 = 178,178 : x
  2. Step 2: Convert to fraction form
    319,490/440,896.20 = 178,178/x
  3. Step 3: Cross multiply
    319,490x = 440,896.20 × 178,178
  4. Step 4: Simplify right side
    319,490x = 78,558,003,123.60
  5. Step 5: Solve for x
    x = 78,558,003,123.60/319,490
  6. Step 6: Final answer
    x = 245,885.64

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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.