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Finding the Fourth Proportional to 383,376.69, 575,064.96 and 102,893.94

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Solution

The fourth proportional to 383,376.69, 575,064.96 and 102,893.94 is: 154,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,376.69 : 575,064.96 = 102,893.94 : x
  2. Step 2: Convert to fraction form
    383,376.69/575,064.96 = 102,893.94/x
  3. Step 3: Cross multiply
    383,376.69x = 575,064.96 × 102,893.94
  4. Step 4: Simplify right side
    383,376.69x = 59,170,699,490.34
  5. Step 5: Solve for x
    x = 59,170,699,490.34/383,376.69
  6. Step 6: Final answer
    x = 154,340.89

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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.