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Finding the Fourth Proportional to 455,836.80, 683,755.20 and 314,119.20

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Solution

The fourth proportional to 455,836.80, 683,755.20 and 314,119.20 is: 471,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,836.80 : 683,755.20 = 314,119.20 : x
  2. Step 2: Convert to fraction form
    455,836.80/683,755.20 = 314,119.20/x
  3. Step 3: Cross multiply
    455,836.80x = 683,755.20 × 314,119.20
  4. Step 4: Simplify right side
    455,836.80x = 214,780,636,419.84
  5. Step 5: Solve for x
    x = 214,780,636,419.84/455,836.80
  6. Step 6: Final answer
    x = 471,178.80

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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.