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Finding the Fourth Proportional to 307,357.80, 461,036.70 and 254,869.80

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Solution

The fourth proportional to 307,357.80, 461,036.70 and 254,869.80 is: 382,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,357.80 : 461,036.70 = 254,869.80 : x
  2. Step 2: Convert to fraction form
    307,357.80/461,036.70 = 254,869.80/x
  3. Step 3: Cross multiply
    307,357.80x = 461,036.70 × 254,869.80
  4. Step 4: Simplify right side
    307,357.80x = 117,504,331,521.66
  5. Step 5: Solve for x
    x = 117,504,331,521.66/307,357.80
  6. Step 6: Final answer
    x = 382,304.70

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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.