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Finding the Fourth Proportional to 299,123.76, 412,791 and 171,807.60

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Solution

The fourth proportional to 299,123.76, 412,791 and 171,807.60 is: 237,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.76 : 412,791 = 171,807.60 : x
  2. Step 2: Convert to fraction form
    299,123.76/412,791 = 171,807.60/x
  3. Step 3: Cross multiply
    299,123.76x = 412,791 × 171,807.60
  4. Step 4: Simplify right side
    299,123.76x = 70,920,631,011.60
  5. Step 5: Solve for x
    x = 70,920,631,011.60/299,123.76
  6. Step 6: Final answer
    x = 237,094.61

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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.