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Finding the Fourth Proportional to 361,096.28, 498,312 and 208,133.24

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Solution

The fourth proportional to 361,096.28, 498,312 and 208,133.24 is: 287,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,096.28 : 498,312 = 208,133.24 : x
  2. Step 2: Convert to fraction form
    361,096.28/498,312 = 208,133.24/x
  3. Step 3: Cross multiply
    361,096.28x = 498,312 × 208,133.24
  4. Step 4: Simplify right side
    361,096.28x = 103,715,291,090.88
  5. Step 5: Solve for x
    x = 103,715,291,090.88/361,096.28
  6. Step 6: Final answer
    x = 287,223.37

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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.