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Finding the Fourth Proportional to 219,958, 303,538.80 and 129,324.16

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Solution

The fourth proportional to 219,958, 303,538.80 and 129,324.16 is: 178,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,958 : 303,538.80 = 129,324.16 : x
  2. Step 2: Convert to fraction form
    219,958/303,538.80 = 129,324.16/x
  3. Step 3: Cross multiply
    219,958x = 303,538.80 × 129,324.16
  4. Step 4: Simplify right side
    219,958x = 39,254,900,337.41
  5. Step 5: Solve for x
    x = 39,254,900,337.41/219,958
  6. Step 6: Final answer
    x = 178,465.44

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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.