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Finding the Fourth Proportional to 380,512.58, 525,106.05 and 219,366.86

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Solution

The fourth proportional to 380,512.58, 525,106.05 and 219,366.86 is: 302,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,512.58 : 525,106.05 = 219,366.86 : x
  2. Step 2: Convert to fraction form
    380,512.58/525,106.05 = 219,366.86/x
  3. Step 3: Cross multiply
    380,512.58x = 525,106.05 × 219,366.86
  4. Step 4: Simplify right side
    380,512.58x = 115,190,865,355.50
  5. Step 5: Solve for x
    x = 115,190,865,355.50/380,512.58
  6. Step 6: Final answer
    x = 302,725.51

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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.