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Finding the Fourth Proportional to 313,464.67, 470,196.99 and 76,805.29

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Solution

The fourth proportional to 313,464.67, 470,196.99 and 76,805.29 is: 115,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,464.67 : 470,196.99 = 76,805.29 : x
  2. Step 2: Convert to fraction form
    313,464.67/470,196.99 = 76,805.29/x
  3. Step 3: Cross multiply
    313,464.67x = 470,196.99 × 76,805.29
  4. Step 4: Simplify right side
    313,464.67x = 36,113,616,174.08
  5. Step 5: Solve for x
    x = 36,113,616,174.08/313,464.67
  6. Step 6: Final answer
    x = 115,207.93

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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.