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Finding the Fourth Proportional to 380,086.78, 524,523.45 and 210,320.50

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Solution

The fourth proportional to 380,086.78, 524,523.45 and 210,320.50 is: 290,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,086.78 : 524,523.45 = 210,320.50 : x
  2. Step 2: Convert to fraction form
    380,086.78/524,523.45 = 210,320.50/x
  3. Step 3: Cross multiply
    380,086.78x = 524,523.45 × 210,320.50
  4. Step 4: Simplify right side
    380,086.78x = 110,318,034,265.73
  5. Step 5: Solve for x
    x = 110,318,034,265.73/380,086.78
  6. Step 6: Final answer
    x = 290,244.33

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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.