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Finding the Fourth Proportional to 509,804.28, 702,493.29 and 394,381.98

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Solution

The fourth proportional to 509,804.28, 702,493.29 and 394,381.98 is: 543,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,804.28 : 702,493.29 = 394,381.98 : x
  2. Step 2: Convert to fraction form
    509,804.28/702,493.29 = 394,381.98/x
  3. Step 3: Cross multiply
    509,804.28x = 702,493.29 × 394,381.98
  4. Step 4: Simplify right side
    509,804.28x = 277,050,694,646.91
  5. Step 5: Solve for x
    x = 277,050,694,646.91/509,804.28
  6. Step 6: Final answer
    x = 543,445.21

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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.