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Finding the Fourth Proportional to 311,397, 429,728.34 and 177,261

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Solution

The fourth proportional to 311,397, 429,728.34 and 177,261 is: 244,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,397 : 429,728.34 = 177,261 : x
  2. Step 2: Convert to fraction form
    311,397/429,728.34 = 177,261/x
  3. Step 3: Cross multiply
    311,397x = 429,728.34 × 177,261
  4. Step 4: Simplify right side
    311,397x = 76,174,075,276.74
  5. Step 5: Solve for x
    x = 76,174,075,276.74/311,397
  6. Step 6: Final answer
    x = 244,620.45

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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.