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Finding the Fourth Proportional to 380,359.63, 524,912.69 and 210,593.75

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Solution

The fourth proportional to 380,359.63, 524,912.69 and 210,593.75 is: 290,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,359.63 : 524,912.69 = 210,593.75 : x
  2. Step 2: Convert to fraction form
    380,359.63/524,912.69 = 210,593.75/x
  3. Step 3: Cross multiply
    380,359.63x = 524,912.69 × 210,593.75
  4. Step 4: Simplify right side
    380,359.63x = 110,543,330,756.72
  5. Step 5: Solve for x
    x = 110,543,330,756.72/380,359.63
  6. Step 6: Final answer
    x = 290,628.46

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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.