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Finding the Fourth Proportional to 299,447.04, 449,111.70 and 89,038.20

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Solution

The fourth proportional to 299,447.04, 449,111.70 and 89,038.20 is: 133,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,447.04 : 449,111.70 = 89,038.20 : x
  2. Step 2: Convert to fraction form
    299,447.04/449,111.70 = 89,038.20/x
  3. Step 3: Cross multiply
    299,447.04x = 449,111.70 × 89,038.20
  4. Step 4: Simplify right side
    299,447.04x = 39,988,097,366.94
  5. Step 5: Solve for x
    x = 39,988,097,366.94/299,447.04
  6. Step 6: Final answer
    x = 133,539.80

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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.