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Finding the Fourth Proportional to 456,671.67, 630,517.01 and 284,658.45

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Solution

The fourth proportional to 456,671.67, 630,517.01 and 284,658.45 is: 393,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,671.67 : 630,517.01 = 284,658.45 : x
  2. Step 2: Convert to fraction form
    456,671.67/630,517.01 = 284,658.45/x
  3. Step 3: Cross multiply
    456,671.67x = 630,517.01 × 284,658.45
  4. Step 4: Simplify right side
    456,671.67x = 179,481,993,341.94
  5. Step 5: Solve for x
    x = 179,481,993,341.94/456,671.67
  6. Step 6: Final answer
    x = 393,021.96

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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.