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Finding the Fourth Proportional to 520,471.22, 718,231.65 and 294,111.86

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Solution

The fourth proportional to 520,471.22, 718,231.65 and 294,111.86 is: 405,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,471.22 : 718,231.65 = 294,111.86 : x
  2. Step 2: Convert to fraction form
    520,471.22/718,231.65 = 294,111.86/x
  3. Step 3: Cross multiply
    520,471.22x = 718,231.65 × 294,111.86
  4. Step 4: Simplify right side
    520,471.22x = 211,240,446,492.37
  5. Step 5: Solve for x
    x = 211,240,446,492.37/520,471.22
  6. Step 6: Final answer
    x = 405,863.84

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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.