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Finding the Fourth Proportional to 380,623, 570,912.54 and 114,377.80

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Solution

The fourth proportional to 380,623, 570,912.54 and 114,377.80 is: 171,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,623 : 570,912.54 = 114,377.80 : x
  2. Step 2: Convert to fraction form
    380,623/570,912.54 = 114,377.80/x
  3. Step 3: Cross multiply
    380,623x = 570,912.54 × 114,377.80
  4. Step 4: Simplify right side
    380,623x = 65,299,720,317.61
  5. Step 5: Solve for x
    x = 65,299,720,317.61/380,623
  6. Step 6: Final answer
    x = 171,560.10

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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.