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Finding the Fourth Proportional to 317,896.80, 476,456.40 and 140,215.20

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Solution

The fourth proportional to 317,896.80, 476,456.40 and 140,215.20 is: 210,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,896.80 : 476,456.40 = 140,215.20 : x
  2. Step 2: Convert to fraction form
    317,896.80/476,456.40 = 140,215.20/x
  3. Step 3: Cross multiply
    317,896.80x = 476,456.40 × 140,215.20
  4. Step 4: Simplify right side
    317,896.80x = 66,806,429,417.28
  5. Step 5: Solve for x
    x = 66,806,429,417.28/317,896.80
  6. Step 6: Final answer
    x = 210,151.31

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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.