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Finding the Fourth Proportional to 273,066.40, 409,641.84 and 115,280.80

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Solution

The fourth proportional to 273,066.40, 409,641.84 and 115,280.80 is: 172,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,066.40 : 409,641.84 = 115,280.80 : x
  2. Step 2: Convert to fraction form
    273,066.40/409,641.84 = 115,280.80/x
  3. Step 3: Cross multiply
    273,066.40x = 409,641.84 × 115,280.80
  4. Step 4: Simplify right side
    273,066.40x = 47,223,839,028.67
  5. Step 5: Solve for x
    x = 47,223,839,028.67/273,066.40
  6. Step 6: Final answer
    x = 172,939.03

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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.