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Finding the Fourth Proportional to 380,415.90, 524,989.77 and 210,650.03

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Solution

The fourth proportional to 380,415.90, 524,989.77 and 210,650.03 is: 290,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,415.90 : 524,989.77 = 210,650.03 : x
  2. Step 2: Convert to fraction form
    380,415.90/524,989.77 = 210,650.03/x
  3. Step 3: Cross multiply
    380,415.90x = 524,989.77 × 210,650.03
  4. Step 4: Simplify right side
    380,415.90x = 110,589,108,175.24
  5. Step 5: Solve for x
    x = 110,589,108,175.24/380,415.90
  6. Step 6: Final answer
    x = 290,705.80

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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.