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Finding the Fourth Proportional to 503,399.24, 694,534.56 and 285,572

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Solution

The fourth proportional to 503,399.24, 694,534.56 and 285,572 is: 394,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,399.24 : 694,534.56 = 285,572 : x
  2. Step 2: Convert to fraction form
    503,399.24/694,534.56 = 285,572/x
  3. Step 3: Cross multiply
    503,399.24x = 694,534.56 × 285,572
  4. Step 4: Simplify right side
    503,399.24x = 198,339,623,368.32
  5. Step 5: Solve for x
    x = 198,339,623,368.32/503,399.24
  6. Step 6: Final answer
    x = 394,000.64

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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.