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Finding the Fourth Proportional to 380,165.67, 569,744.08 and 317,109.33

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Solution

The fourth proportional to 380,165.67, 569,744.08 and 317,109.33 is: 475,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,165.67 : 569,744.08 = 317,109.33 : x
  2. Step 2: Convert to fraction form
    380,165.67/569,744.08 = 317,109.33/x
  3. Step 3: Cross multiply
    380,165.67x = 569,744.08 × 317,109.33
  4. Step 4: Simplify right side
    380,165.67x = 180,671,162,687.49
  5. Step 5: Solve for x
    x = 180,671,162,687.49/380,165.67
  6. Step 6: Final answer
    x = 475,243.23

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1.5x scale

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.