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Finding the Fourth Proportional to 313,589.40, 470,643.30 and 145,368.60

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Solution

The fourth proportional to 313,589.40, 470,643.30 and 145,368.60 is: 218,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,589.40 : 470,643.30 = 145,368.60 : x
  2. Step 2: Convert to fraction form
    313,589.40/470,643.30 = 145,368.60/x
  3. Step 3: Cross multiply
    313,589.40x = 470,643.30 × 145,368.60
  4. Step 4: Simplify right side
    313,589.40x = 68,416,757,620.38
  5. Step 5: Solve for x
    x = 68,416,757,620.38/313,589.40
  6. Step 6: Final answer
    x = 218,173.06

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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.