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Finding the Fourth Proportional to 313,837.06, 470,872.23 and 145,438.06

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Solution

The fourth proportional to 313,837.06, 470,872.23 and 145,438.06 is: 218,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,837.06 : 470,872.23 = 145,438.06 : x
  2. Step 2: Convert to fraction form
    313,837.06/470,872.23 = 145,438.06/x
  3. Step 3: Cross multiply
    313,837.06x = 470,872.23 × 145,438.06
  4. Step 4: Simplify right side
    313,837.06x = 68,482,743,639.07
  5. Step 5: Solve for x
    x = 68,482,743,639.07/313,837.06
  6. Step 6: Final answer
    x = 218,211.14

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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.