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Finding the Fourth Proportional to 380,604.92, 525,290.74 and 219,428.48

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Solution

The fourth proportional to 380,604.92, 525,290.74 and 219,428.48 is: 302,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,604.92 : 525,290.74 = 219,428.48 : x
  2. Step 2: Convert to fraction form
    380,604.92/525,290.74 = 219,428.48/x
  3. Step 3: Cross multiply
    380,604.92x = 525,290.74 × 219,428.48
  4. Step 4: Simplify right side
    380,604.92x = 115,263,748,636.28
  5. Step 5: Solve for x
    x = 115,263,748,636.28/380,604.92
  6. Step 6: Final answer
    x = 302,843.56

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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.