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Finding the Fourth Proportional to 538,200.24, 742,707 and 311,866.80

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Solution

The fourth proportional to 538,200.24, 742,707 and 311,866.80 is: 430,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,200.24 : 742,707 = 311,866.80 : x
  2. Step 2: Convert to fraction form
    538,200.24/742,707 = 311,866.80/x
  3. Step 3: Cross multiply
    538,200.24x = 742,707 × 311,866.80
  4. Step 4: Simplify right side
    538,200.24x = 231,625,655,427.60
  5. Step 5: Solve for x
    x = 231,625,655,427.60/538,200.24
  6. Step 6: Final answer
    x = 430,370.78

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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.