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Finding the Fourth Proportional to 380,834.17, 525,530.92 and 219,679.63

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Solution

The fourth proportional to 380,834.17, 525,530.92 and 219,679.63 is: 303,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,834.17 : 525,530.92 = 219,679.63 : x
  2. Step 2: Convert to fraction form
    380,834.17/525,530.92 = 219,679.63/x
  3. Step 3: Cross multiply
    380,834.17x = 525,530.92 × 219,679.63
  4. Step 4: Simplify right side
    380,834.17x = 115,448,438,059.16
  5. Step 5: Solve for x
    x = 115,448,438,059.16/380,834.17
  6. Step 6: Final answer
    x = 303,146.22

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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.