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Finding the Fourth Proportional to 299,690.40, 449,533.92 and 122,196.72

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Solution

The fourth proportional to 299,690.40, 449,533.92 and 122,196.72 is: 183,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,690.40 : 449,533.92 = 122,196.72 : x
  2. Step 2: Convert to fraction form
    299,690.40/449,533.92 = 122,196.72/x
  3. Step 3: Cross multiply
    299,690.40x = 449,533.92 × 122,196.72
  4. Step 4: Simplify right side
    299,690.40x = 54,931,570,552.74
  5. Step 5: Solve for x
    x = 54,931,570,552.74/299,690.40
  6. Step 6: Final answer
    x = 183,294.39

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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.