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Finding the Fourth Proportional to 390,467.24, 538,847.94 and 211,619.24

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Solution

The fourth proportional to 390,467.24, 538,847.94 and 211,619.24 is: 292,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,467.24 : 538,847.94 = 211,619.24 : x
  2. Step 2: Convert to fraction form
    390,467.24/538,847.94 = 211,619.24/x
  3. Step 3: Cross multiply
    390,467.24x = 538,847.94 × 211,619.24
  4. Step 4: Simplify right side
    390,467.24x = 114,030,591,538.37
  5. Step 5: Solve for x
    x = 114,030,591,538.37/390,467.24
  6. Step 6: Final answer
    x = 292,036.26

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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.