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Finding the Fourth Proportional to 317,873.67, 438,514.09 and 231,647.77

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Solution

The fourth proportional to 317,873.67, 438,514.09 and 231,647.77 is: 319,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,873.67 : 438,514.09 = 231,647.77 : x
  2. Step 2: Convert to fraction form
    317,873.67/438,514.09 = 231,647.77/x
  3. Step 3: Cross multiply
    317,873.67x = 438,514.09 × 231,647.77
  4. Step 4: Simplify right side
    317,873.67x = 101,580,811,062.08
  5. Step 5: Solve for x
    x = 101,580,811,062.08/317,873.67
  6. Step 6: Final answer
    x = 319,563.46

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1.5x scale

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.