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Finding the Fourth Proportional to 320,999.36, 442,978.71 and 177,759.23

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Solution

The fourth proportional to 320,999.36, 442,978.71 and 177,759.23 is: 245,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,999.36 : 442,978.71 = 177,759.23 : x
  2. Step 2: Convert to fraction form
    320,999.36/442,978.71 = 177,759.23/x
  3. Step 3: Cross multiply
    320,999.36x = 442,978.71 × 177,759.23
  4. Step 4: Simplify right side
    320,999.36x = 78,743,553,955.14
  5. Step 5: Solve for x
    x = 78,743,553,955.14/320,999.36
  6. Step 6: Final answer
    x = 245,307.51

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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.