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Finding the Fourth Proportional to 380,847.76, 525,782.28 and 260,170

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Solution

The fourth proportional to 380,847.76, 525,782.28 and 260,170 is: 359,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,847.76 : 525,782.28 = 260,170 : x
  2. Step 2: Convert to fraction form
    380,847.76/525,782.28 = 260,170/x
  3. Step 3: Cross multiply
    380,847.76x = 525,782.28 × 260,170
  4. Step 4: Simplify right side
    380,847.76x = 136,792,775,787.60
  5. Step 5: Solve for x
    x = 136,792,775,787.60/380,847.76
  6. Step 6: Final answer
    x = 359,179.68

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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.