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Finding the Fourth Proportional to 380,757.80, 525,020.82 and 259,962.50

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Solution

The fourth proportional to 380,757.80, 525,020.82 and 259,962.50 is: 358,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,757.80 : 525,020.82 = 259,962.50 : x
  2. Step 2: Convert to fraction form
    380,757.80/525,020.82 = 259,962.50/x
  3. Step 3: Cross multiply
    380,757.80x = 525,020.82 × 259,962.50
  4. Step 4: Simplify right side
    380,757.80x = 136,485,722,294.15
  5. Step 5: Solve for x
    x = 136,485,722,294.15/380,757.80
  6. Step 6: Final answer
    x = 358,458.12

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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.