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Finding the Fourth Proportional to 365,023, 503,726.50 and 203,880.40

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Solution

The fourth proportional to 365,023, 503,726.50 and 203,880.40 is: 281,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,023 : 503,726.50 = 203,880.40 : x
  2. Step 2: Convert to fraction form
    365,023/503,726.50 = 203,880.40/x
  3. Step 3: Cross multiply
    365,023x = 503,726.50 × 203,880.40
  4. Step 4: Simplify right side
    365,023x = 102,699,960,310.60
  5. Step 5: Solve for x
    x = 102,699,960,310.60/365,023
  6. Step 6: Final answer
    x = 281,352.03

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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.