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Finding the Fourth Proportional to 383,457.18, 529,160.31 and 213,686.94

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Solution

The fourth proportional to 383,457.18, 529,160.31 and 213,686.94 is: 294,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,457.18 : 529,160.31 = 213,686.94 : x
  2. Step 2: Convert to fraction form
    383,457.18/529,160.31 = 213,686.94/x
  3. Step 3: Cross multiply
    383,457.18x = 529,160.31 × 213,686.94
  4. Step 4: Simplify right side
    383,457.18x = 113,074,647,413.35
  5. Step 5: Solve for x
    x = 113,074,647,413.35/383,457.18
  6. Step 6: Final answer
    x = 294,882.07

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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.