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Finding the Fourth Proportional to 257,890.56, 386,784 and 70,877.76

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Solution

The fourth proportional to 257,890.56, 386,784 and 70,877.76 is: 106,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,890.56 : 386,784 = 70,877.76 : x
  2. Step 2: Convert to fraction form
    257,890.56/386,784 = 70,877.76/x
  3. Step 3: Cross multiply
    257,890.56x = 386,784 × 70,877.76
  4. Step 4: Simplify right side
    257,890.56x = 27,414,383,523.84
  5. Step 5: Solve for x
    x = 27,414,383,523.84/257,890.56
  6. Step 6: Final answer
    x = 106,302.39

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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.