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Finding the Fourth Proportional to 371,165.10, 512,074.11 and 210,018.43

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Solution

The fourth proportional to 371,165.10, 512,074.11 and 210,018.43 is: 289,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,165.10 : 512,074.11 = 210,018.43 : x
  2. Step 2: Convert to fraction form
    371,165.10/512,074.11 = 210,018.43/x
  3. Step 3: Cross multiply
    371,165.10x = 512,074.11 × 210,018.43
  4. Step 4: Simplify right side
    371,165.10x = 107,545,000,625.85
  5. Step 5: Solve for x
    x = 107,545,000,625.85/371,165.10
  6. Step 6: Final answer
    x = 289,749.77

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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.