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Finding the Fourth Proportional to 230,046.58, 317,400.53 and 138,142.16

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Solution

The fourth proportional to 230,046.58, 317,400.53 and 138,142.16 is: 190,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,046.58 : 317,400.53 = 138,142.16 : x
  2. Step 2: Convert to fraction form
    230,046.58/317,400.53 = 138,142.16/x
  3. Step 3: Cross multiply
    230,046.58x = 317,400.53 × 138,142.16
  4. Step 4: Simplify right side
    230,046.58x = 43,846,393,711.88
  5. Step 5: Solve for x
    x = 43,846,393,711.88/230,046.58
  6. Step 6: Final answer
    x = 190,597.89

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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.