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Finding the Fourth Proportional to 380,418.96, 524,971.71 and 210,649.44

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Solution

The fourth proportional to 380,418.96, 524,971.71 and 210,649.44 is: 290,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,418.96 : 524,971.71 = 210,649.44 : x
  2. Step 2: Convert to fraction form
    380,418.96/524,971.71 = 210,649.44/x
  3. Step 3: Cross multiply
    380,418.96x = 524,971.71 × 210,649.44
  4. Step 4: Simplify right side
    380,418.96x = 110,584,996,727.34
  5. Step 5: Solve for x
    x = 110,584,996,727.34/380,418.96
  6. Step 6: Final answer
    x = 290,692.65

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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.