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Finding the Fourth Proportional to 313,093.40, 469,899.30 and 144,872.60

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Solution

The fourth proportional to 313,093.40, 469,899.30 and 144,872.60 is: 217,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,093.40 : 469,899.30 = 144,872.60 : x
  2. Step 2: Convert to fraction form
    313,093.40/469,899.30 = 144,872.60/x
  3. Step 3: Cross multiply
    313,093.40x = 469,899.30 × 144,872.60
  4. Step 4: Simplify right side
    313,093.40x = 68,075,533,329.18
  5. Step 5: Solve for x
    x = 68,075,533,329.18/313,093.40
  6. Step 6: Final answer
    x = 217,428.84

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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.