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Finding the Fourth Proportional to 516,205.28, 712,238.64 and 301,222.64

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Solution

The fourth proportional to 516,205.28, 712,238.64 and 301,222.64 is: 415,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,205.28 : 712,238.64 = 301,222.64 : x
  2. Step 2: Convert to fraction form
    516,205.28/712,238.64 = 301,222.64/x
  3. Step 3: Cross multiply
    516,205.28x = 712,238.64 × 301,222.64
  4. Step 4: Simplify right side
    516,205.28x = 214,542,399,889.62
  5. Step 5: Solve for x
    x = 214,542,399,889.62/516,205.28
  6. Step 6: Final answer
    x = 415,614.51

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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.