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Finding the Fourth Proportional to 380,107.69, 569,706.51 and 177,431.11

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Solution

The fourth proportional to 380,107.69, 569,706.51 and 177,431.11 is: 265,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,107.69 : 569,706.51 = 177,431.11 : x
  2. Step 2: Convert to fraction form
    380,107.69/569,706.51 = 177,431.11/x
  3. Step 3: Cross multiply
    380,107.69x = 569,706.51 × 177,431.11
  4. Step 4: Simplify right side
    380,107.69x = 101,083,657,684.63
  5. Step 5: Solve for x
    x = 101,083,657,684.63/380,107.69
  6. Step 6: Final answer
    x = 265,934.26

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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.