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Finding the Fourth Proportional to 248,414, 342,897.72 and 147,809.84

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Solution

The fourth proportional to 248,414, 342,897.72 and 147,809.84 is: 204,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,414 : 342,897.72 = 147,809.84 : x
  2. Step 2: Convert to fraction form
    248,414/342,897.72 = 147,809.84/x
  3. Step 3: Cross multiply
    248,414x = 342,897.72 × 147,809.84
  4. Step 4: Simplify right side
    248,414x = 50,683,657,129.56
  5. Step 5: Solve for x
    x = 50,683,657,129.56/248,414
  6. Step 6: Final answer
    x = 204,028.99

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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.