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Finding the Fourth Proportional to 449,190.32, 619,599.48 and 287,878.64

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Solution

The fourth proportional to 449,190.32, 619,599.48 and 287,878.64 is: 397,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,190.32 : 619,599.48 = 287,878.64 : x
  2. Step 2: Convert to fraction form
    449,190.32/619,599.48 = 287,878.64/x
  3. Step 3: Cross multiply
    449,190.32x = 619,599.48 × 287,878.64
  4. Step 4: Simplify right side
    449,190.32x = 178,369,455,647.11
  5. Step 5: Solve for x
    x = 178,369,455,647.11/449,190.32
  6. Step 6: Final answer
    x = 397,091.05

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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.