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Finding the Fourth Proportional to 371,111.63, 512,134.18 and 209,963.21

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Solution

The fourth proportional to 371,111.63, 512,134.18 and 209,963.21 is: 289,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,111.63 : 512,134.18 = 209,963.21 : x
  2. Step 2: Convert to fraction form
    371,111.63/512,134.18 = 209,963.21/x
  3. Step 3: Cross multiply
    371,111.63x = 512,134.18 × 209,963.21
  4. Step 4: Simplify right side
    371,111.63x = 107,529,333,297.94
  5. Step 5: Solve for x
    x = 107,529,333,297.94/371,111.63
  6. Step 6: Final answer
    x = 289,749.30

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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.