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Finding the Fourth Proportional to 500,857.80, 691,423.14 and 285,956.37

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Solution

The fourth proportional to 500,857.80, 691,423.14 and 285,956.37 is: 394,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,857.80 : 691,423.14 = 285,956.37 : x
  2. Step 2: Convert to fraction form
    500,857.80/691,423.14 = 285,956.37/x
  3. Step 3: Cross multiply
    500,857.80x = 691,423.14 × 285,956.37
  4. Step 4: Simplify right side
    500,857.80x = 197,716,851,248.40
  5. Step 5: Solve for x
    x = 197,716,851,248.40/500,857.80
  6. Step 6: Final answer
    x = 394,756.46

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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.