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Finding the Fourth Proportional to 317,324.58, 476,111.34 and 139,707

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Solution

The fourth proportional to 317,324.58, 476,111.34 and 139,707 is: 209,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,324.58 : 476,111.34 = 139,707 : x
  2. Step 2: Convert to fraction form
    317,324.58/476,111.34 = 139,707/x
  3. Step 3: Cross multiply
    317,324.58x = 476,111.34 × 139,707
  4. Step 4: Simplify right side
    317,324.58x = 66,516,086,977.38
  5. Step 5: Solve for x
    x = 66,516,086,977.38/317,324.58
  6. Step 6: Final answer
    x = 209,615.30

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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.