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Finding the Fourth Proportional to 381,120.73, 525,943.02 and 209,035.19

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Solution

The fourth proportional to 381,120.73, 525,943.02 and 209,035.19 is: 288,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,120.73 : 525,943.02 = 209,035.19 : x
  2. Step 2: Convert to fraction form
    381,120.73/525,943.02 = 209,035.19/x
  3. Step 3: Cross multiply
    381,120.73x = 525,943.02 × 209,035.19
  4. Step 4: Simplify right side
    381,120.73x = 109,940,596,485.16
  5. Step 5: Solve for x
    x = 109,940,596,485.16/381,120.73
  6. Step 6: Final answer
    x = 288,466.59

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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.