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Finding the Fourth Proportional to 538,245, 742,778.10 and 312,021.72

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Solution

The fourth proportional to 538,245, 742,778.10 and 312,021.72 is: 430,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,245 : 742,778.10 = 312,021.72 : x
  2. Step 2: Convert to fraction form
    538,245/742,778.10 = 312,021.72/x
  3. Step 3: Cross multiply
    538,245x = 742,778.10 × 312,021.72
  4. Step 4: Simplify right side
    538,245x = 231,762,900,340.33
  5. Step 5: Solve for x
    x = 231,762,900,340.33/538,245
  6. Step 6: Final answer
    x = 430,589.97

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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.