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Finding the Fourth Proportional to 380,611.76, 525,237 and 210,847.28

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Solution

The fourth proportional to 380,611.76, 525,237 and 210,847.28 is: 290,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,611.76 : 525,237 = 210,847.28 : x
  2. Step 2: Convert to fraction form
    380,611.76/525,237 = 210,847.28/x
  3. Step 3: Cross multiply
    380,611.76x = 525,237 × 210,847.28
  4. Step 4: Simplify right side
    380,611.76x = 110,744,792,805.36
  5. Step 5: Solve for x
    x = 110,744,792,805.36/380,611.76
  6. Step 6: Final answer
    x = 290,965.24

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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.