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Finding the Fourth Proportional to 382,893.80, 574,340.83 and 172,285.70

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Solution

The fourth proportional to 382,893.80, 574,340.83 and 172,285.70 is: 258,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,893.80 : 574,340.83 = 172,285.70 : x
  2. Step 2: Convert to fraction form
    382,893.80/574,340.83 = 172,285.70/x
  3. Step 3: Cross multiply
    382,893.80x = 574,340.83 × 172,285.70
  4. Step 4: Simplify right side
    382,893.80x = 98,950,708,632.71
  5. Step 5: Solve for x
    x = 98,950,708,632.71/382,893.80
  6. Step 6: Final answer
    x = 258,428.60

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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.