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Finding the Fourth Proportional to 413,012.93, 570,538.49 and 318,731.36

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Solution

The fourth proportional to 413,012.93, 570,538.49 and 318,731.36 is: 440,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,012.93 : 570,538.49 = 318,731.36 : x
  2. Step 2: Convert to fraction form
    413,012.93/570,538.49 = 318,731.36/x
  3. Step 3: Cross multiply
    413,012.93x = 570,538.49 × 318,731.36
  4. Step 4: Simplify right side
    413,012.93x = 181,848,504,403.70
  5. Step 5: Solve for x
    x = 181,848,504,403.70/413,012.93
  6. Step 6: Final answer
    x = 440,297.37

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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.