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Finding the Fourth Proportional to 503,356.32, 694,648 and 288,537.04

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Solution

The fourth proportional to 503,356.32, 694,648 and 288,537.04 is: 398,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,356.32 : 694,648 = 288,537.04 : x
  2. Step 2: Convert to fraction form
    503,356.32/694,648 = 288,537.04/x
  3. Step 3: Cross multiply
    503,356.32x = 694,648 × 288,537.04
  4. Step 4: Simplify right side
    503,356.32x = 200,431,677,761.92
  5. Step 5: Solve for x
    x = 200,431,677,761.92/503,356.32
  6. Step 6: Final answer
    x = 398,190.45

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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.