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Finding the Fourth Proportional to 683,658.63, 943,400.42 and 377,731.65

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Solution

The fourth proportional to 683,658.63, 943,400.42 and 377,731.65 is: 521,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,658.63 : 943,400.42 = 377,731.65 : x
  2. Step 2: Convert to fraction form
    683,658.63/943,400.42 = 377,731.65/x
  3. Step 3: Cross multiply
    683,658.63x = 943,400.42 × 377,731.65
  4. Step 4: Simplify right side
    683,658.63x = 356,352,200,322.88
  5. Step 5: Solve for x
    x = 356,352,200,322.88/683,658.63
  6. Step 6: Final answer
    x = 521,242.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.