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Finding the Fourth Proportional to 307,514.40, 461,271.60 and 138,969.60

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Solution

The fourth proportional to 307,514.40, 461,271.60 and 138,969.60 is: 208,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,514.40 : 461,271.60 = 138,969.60 : x
  2. Step 2: Convert to fraction form
    307,514.40/461,271.60 = 138,969.60/x
  3. Step 3: Cross multiply
    307,514.40x = 461,271.60 × 138,969.60
  4. Step 4: Simplify right side
    307,514.40x = 64,102,729,743.36
  5. Step 5: Solve for x
    x = 64,102,729,743.36/307,514.40
  6. Step 6: Final answer
    x = 208,454.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.