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Finding the Fourth Proportional to 457,878.96, 686,774.70 and 280,294.56

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Solution

The fourth proportional to 457,878.96, 686,774.70 and 280,294.56 is: 420,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,878.96 : 686,774.70 = 280,294.56 : x
  2. Step 2: Convert to fraction form
    457,878.96/686,774.70 = 280,294.56/x
  3. Step 3: Cross multiply
    457,878.96x = 686,774.70 × 280,294.56
  4. Step 4: Simplify right side
    457,878.96x = 192,499,212,355.63
  5. Step 5: Solve for x
    x = 192,499,212,355.63/457,878.96
  6. Step 6: Final answer
    x = 420,415.06

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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.