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Finding the Fourth Proportional to 538,114, 742,597.32 and 311,890.72

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Solution

The fourth proportional to 538,114, 742,597.32 and 311,890.72 is: 430,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,114 : 742,597.32 = 311,890.72 : x
  2. Step 2: Convert to fraction form
    538,114/742,597.32 = 311,890.72/x
  3. Step 3: Cross multiply
    538,114x = 742,597.32 × 311,890.72
  4. Step 4: Simplify right side
    538,114x = 231,609,212,804.87
  5. Step 5: Solve for x
    x = 231,609,212,804.87/538,114
  6. Step 6: Final answer
    x = 430,409.19

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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.