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Finding the Fourth Proportional to 299,751.62, 449,848.87 and 141,980.06

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Solution

The fourth proportional to 299,751.62, 449,848.87 and 141,980.06 is: 213,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,751.62 : 449,848.87 = 141,980.06 : x
  2. Step 2: Convert to fraction form
    299,751.62/449,848.87 = 141,980.06/x
  3. Step 3: Cross multiply
    299,751.62x = 449,848.87 × 141,980.06
  4. Step 4: Simplify right side
    299,751.62x = 63,869,570,323.20
  5. Step 5: Solve for x
    x = 63,869,570,323.20/299,751.62
  6. Step 6: Final answer
    x = 213,074.98

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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.