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Finding the Fourth Proportional to 380,418.54, 524,971.17 and 210,649.02

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Solution

The fourth proportional to 380,418.54, 524,971.17 and 210,649.02 is: 290,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,418.54 : 524,971.17 = 210,649.02 : x
  2. Step 2: Convert to fraction form
    380,418.54/524,971.17 = 210,649.02/x
  3. Step 3: Cross multiply
    380,418.54x = 524,971.17 × 210,649.02
  4. Step 4: Simplify right side
    380,418.54x = 110,584,662,488.75
  5. Step 5: Solve for x
    x = 110,584,662,488.75/380,418.54
  6. Step 6: Final answer
    x = 290,692.10

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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.