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Finding the Fourth Proportional to 538,130.56, 742,706.88 and 311,906.56

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Solution

The fourth proportional to 538,130.56, 742,706.88 and 311,906.56 is: 430,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,130.56 : 742,706.88 = 311,906.56 : x
  2. Step 2: Convert to fraction form
    538,130.56/742,706.88 = 311,906.56/x
  3. Step 3: Cross multiply
    538,130.56x = 742,706.88 × 311,906.56
  4. Step 4: Simplify right side
    538,130.56x = 231,655,148,029.13
  5. Step 5: Solve for x
    x = 231,655,148,029.13/538,130.56
  6. Step 6: Final answer
    x = 430,481.31

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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.