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Finding the Fourth Proportional to 390,558.87, 538,945.80 and 218,447.01

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Solution

The fourth proportional to 390,558.87, 538,945.80 and 218,447.01 is: 301,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,558.87 : 538,945.80 = 218,447.01 : x
  2. Step 2: Convert to fraction form
    390,558.87/538,945.80 = 218,447.01/x
  3. Step 3: Cross multiply
    390,558.87x = 538,945.80 × 218,447.01
  4. Step 4: Simplify right side
    390,558.87x = 117,731,098,562.06
  5. Step 5: Solve for x
    x = 117,731,098,562.06/390,558.87
  6. Step 6: Final answer
    x = 301,442.64

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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.