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Finding the Fourth Proportional to 390,041, 538,256.58 and 211,193

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Solution

The fourth proportional to 390,041, 538,256.58 and 211,193 is: 291,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,041 : 538,256.58 = 211,193 : x
  2. Step 2: Convert to fraction form
    390,041/538,256.58 = 211,193/x
  3. Step 3: Cross multiply
    390,041x = 538,256.58 × 211,193
  4. Step 4: Simplify right side
    390,041x = 113,676,021,899.94
  5. Step 5: Solve for x
    x = 113,676,021,899.94/390,041
  6. Step 6: Final answer
    x = 291,446.34

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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.