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Finding the Fourth Proportional to 455,415.60, 683,560.80 and 231,029.40

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Solution

The fourth proportional to 455,415.60, 683,560.80 and 231,029.40 is: 346,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,415.60 : 683,560.80 = 231,029.40 : x
  2. Step 2: Convert to fraction form
    455,415.60/683,560.80 = 231,029.40/x
  3. Step 3: Cross multiply
    455,415.60x = 683,560.80 × 231,029.40
  4. Step 4: Simplify right side
    455,415.60x = 157,922,641,487.52
  5. Step 5: Solve for x
    x = 157,922,641,487.52/455,415.60
  6. Step 6: Final answer
    x = 346,765.99

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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.