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Finding the Fourth Proportional to 503,190, 694,402.20 and 276,830.64

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Solution

The fourth proportional to 503,190, 694,402.20 and 276,830.64 is: 382,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,190 : 694,402.20 = 276,830.64 : x
  2. Step 2: Convert to fraction form
    503,190/694,402.20 = 276,830.64/x
  3. Step 3: Cross multiply
    503,190x = 694,402.20 × 276,830.64
  4. Step 4: Simplify right side
    503,190x = 192,231,805,443.41
  5. Step 5: Solve for x
    x = 192,231,805,443.41/503,190
  6. Step 6: Final answer
    x = 382,026.28

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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.