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Finding the Fourth Proportional to 299,427.56, 449,009.90 and 112,307.88

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Solution

The fourth proportional to 299,427.56, 449,009.90 and 112,307.88 is: 168,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,427.56 : 449,009.90 = 112,307.88 : x
  2. Step 2: Convert to fraction form
    299,427.56/449,009.90 = 112,307.88/x
  3. Step 3: Cross multiply
    299,427.56x = 449,009.90 × 112,307.88
  4. Step 4: Simplify right side
    299,427.56x = 50,427,349,968.01
  5. Step 5: Solve for x
    x = 50,427,349,968.01/299,427.56
  6. Step 6: Final answer
    x = 168,412.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.