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Finding the Fourth Proportional to 278,576, 418,030.04 and 101,096.88

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Solution

The fourth proportional to 278,576, 418,030.04 and 101,096.88 is: 151,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,576 : 418,030.04 = 101,096.88 : x
  2. Step 2: Convert to fraction form
    278,576/418,030.04 = 101,096.88/x
  3. Step 3: Cross multiply
    278,576x = 418,030.04 × 101,096.88
  4. Step 4: Simplify right side
    278,576x = 42,261,532,790.28
  5. Step 5: Solve for x
    x = 42,261,532,790.28/278,576
  6. Step 6: Final answer
    x = 151,705.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.