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Finding the Fourth Proportional to 538,105.54, 742,585.61 and 311,882.26

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Solution

The fourth proportional to 538,105.54, 742,585.61 and 311,882.26 is: 430,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,105.54 : 742,585.61 = 311,882.26 : x
  2. Step 2: Convert to fraction form
    538,105.54/742,585.61 = 311,882.26/x
  3. Step 3: Cross multiply
    538,105.54x = 742,585.61 × 311,882.26
  4. Step 4: Simplify right side
    538,105.54x = 231,599,278,290.28
  5. Step 5: Solve for x
    x = 231,599,278,290.28/538,105.54
  6. Step 6: Final answer
    x = 430,397.50

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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.