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Finding the Fourth Proportional to 506,212.73, 757,453.26 and 303,931.78

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Solution

The fourth proportional to 506,212.73, 757,453.26 and 303,931.78 is: 454,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,212.73 : 757,453.26 = 303,931.78 : x
  2. Step 2: Convert to fraction form
    506,212.73/757,453.26 = 303,931.78/x
  3. Step 3: Cross multiply
    506,212.73x = 757,453.26 × 303,931.78
  4. Step 4: Simplify right side
    506,212.73x = 230,214,116,824.71
  5. Step 5: Solve for x
    x = 230,214,116,824.71/506,212.73
  6. Step 6: Final answer
    x = 454,777.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.