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Finding the Fourth Proportional to 816,803.14, 1,224,404.82 and 457,149.64

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Solution

The fourth proportional to 816,803.14, 1,224,404.82 and 457,149.64 is: 685,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,803.14 : 1,224,404.82 = 457,149.64 : x
  2. Step 2: Convert to fraction form
    816,803.14/1,224,404.82 = 457,149.64/x
  3. Step 3: Cross multiply
    816,803.14x = 1,224,404.82 × 457,149.64
  4. Step 4: Simplify right side
    816,803.14x = 559,736,222,677.27
  5. Step 5: Solve for x
    x = 559,736,222,677.27/816,803.14
  6. Step 6: Final answer
    x = 685,276.78

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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.