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Finding the Fourth Proportional to 390,291, 538,601.58 and 211,443

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Solution

The fourth proportional to 390,291, 538,601.58 and 211,443 is: 291,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,291 : 538,601.58 = 211,443 : x
  2. Step 2: Convert to fraction form
    390,291/538,601.58 = 211,443/x
  3. Step 3: Cross multiply
    390,291x = 538,601.58 × 211,443
  4. Step 4: Simplify right side
    390,291x = 113,883,533,879.94
  5. Step 5: Solve for x
    x = 113,883,533,879.94/390,291
  6. Step 6: Final answer
    x = 291,791.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.