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Finding the Fourth Proportional to 313,311.65, 470,068.50 and 144,942.26

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Solution

The fourth proportional to 313,311.65, 470,068.50 and 144,942.26 is: 217,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,311.65 : 470,068.50 = 144,942.26 : x
  2. Step 2: Convert to fraction form
    313,311.65/470,068.50 = 144,942.26/x
  3. Step 3: Cross multiply
    313,311.65x = 470,068.50 × 144,942.26
  4. Step 4: Simplify right side
    313,311.65x = 68,132,788,938.00
  5. Step 5: Solve for x
    x = 68,132,788,938.00/313,311.65
  6. Step 6: Final answer
    x = 217,460.12

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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.