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Finding the Fourth Proportional to 380,199.86, 524,659.30 and 210,423.86

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Solution

The fourth proportional to 380,199.86, 524,659.30 and 210,423.86 is: 290,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,199.86 : 524,659.30 = 210,423.86 : x
  2. Step 2: Convert to fraction form
    380,199.86/524,659.30 = 210,423.86/x
  3. Step 3: Cross multiply
    380,199.86x = 524,659.30 × 210,423.86
  4. Step 4: Simplify right side
    380,199.86x = 110,400,831,941.54
  5. Step 5: Solve for x
    x = 110,400,831,941.54/380,199.86
  6. Step 6: Final answer
    x = 290,375.79

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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.