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Finding the Fourth Proportional to 299,482.80, 449,114.85 and 99,809.70

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Solution

The fourth proportional to 299,482.80, 449,114.85 and 99,809.70 is: 149,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482.80 : 449,114.85 = 99,809.70 : x
  2. Step 2: Convert to fraction form
    299,482.80/449,114.85 = 99,809.70/x
  3. Step 3: Cross multiply
    299,482.80x = 449,114.85 × 99,809.70
  4. Step 4: Simplify right side
    299,482.80x = 44,826,018,444.05
  5. Step 5: Solve for x
    x = 44,826,018,444.05/299,482.80
  6. Step 6: Final answer
    x = 149,678.11

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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.