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Finding the Fourth Proportional to 380,959.65, 525,730.23 and 208,893.33

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Solution

The fourth proportional to 380,959.65, 525,730.23 and 208,893.33 is: 288,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,959.65 : 525,730.23 = 208,893.33 : x
  2. Step 2: Convert to fraction form
    380,959.65/525,730.23 = 208,893.33/x
  3. Step 3: Cross multiply
    380,959.65x = 525,730.23 × 208,893.33
  4. Step 4: Simplify right side
    380,959.65x = 109,821,538,426.37
  5. Step 5: Solve for x
    x = 109,821,538,426.37/380,959.65
  6. Step 6: Final answer
    x = 288,276.04

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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.