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Finding the Fourth Proportional to 319,668.76, 440,996.68 and 185,455

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Solution

The fourth proportional to 319,668.76, 440,996.68 and 185,455 is: 255,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,668.76 : 440,996.68 = 185,455 : x
  2. Step 2: Convert to fraction form
    319,668.76/440,996.68 = 185,455/x
  3. Step 3: Cross multiply
    319,668.76x = 440,996.68 × 185,455
  4. Step 4: Simplify right side
    319,668.76x = 81,785,039,289.40
  5. Step 5: Solve for x
    x = 81,785,039,289.40/319,668.76
  6. Step 6: Final answer
    x = 255,843.08

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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.