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Finding the Fourth Proportional to 380,505.94, 525,114.60 and 210,740.06

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Solution

The fourth proportional to 380,505.94, 525,114.60 and 210,740.06 is: 290,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,505.94 : 525,114.60 = 210,740.06 : x
  2. Step 2: Convert to fraction form
    380,505.94/525,114.60 = 210,740.06/x
  3. Step 3: Cross multiply
    380,505.94x = 525,114.60 × 210,740.06
  4. Step 4: Simplify right side
    380,505.94x = 110,662,682,833.39
  5. Step 5: Solve for x
    x = 110,662,682,833.39/380,505.94
  6. Step 6: Final answer
    x = 290,830.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.