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Finding the Fourth Proportional to 299,439.60, 449,378.10 and 210,866.10

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Solution

The fourth proportional to 299,439.60, 449,378.10 and 210,866.10 is: 316,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,439.60 : 449,378.10 = 210,866.10 : x
  2. Step 2: Convert to fraction form
    299,439.60/449,378.10 = 210,866.10/x
  3. Step 3: Cross multiply
    299,439.60x = 449,378.10 × 210,866.10
  4. Step 4: Simplify right side
    299,439.60x = 94,758,607,372.41
  5. Step 5: Solve for x
    x = 94,758,607,372.41/299,439.60
  6. Step 6: Final answer
    x = 316,453.16

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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.