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Finding the Fourth Proportional to 313,905, 470,857.50 and 80,433

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Solution

The fourth proportional to 313,905, 470,857.50 and 80,433 is: 120,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,905 : 470,857.50 = 80,433 : x
  2. Step 2: Convert to fraction form
    313,905/470,857.50 = 80,433/x
  3. Step 3: Cross multiply
    313,905x = 470,857.50 × 80,433
  4. Step 4: Simplify right side
    313,905x = 37,872,481,297.50
  5. Step 5: Solve for x
    x = 37,872,481,297.50/313,905
  6. Step 6: Final answer
    x = 120,649.50

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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.