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Finding the Fourth Proportional to 305,903.40, 458,631.42 and 205,814.76

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Solution

The fourth proportional to 305,903.40, 458,631.42 and 205,814.76 is: 308,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,903.40 : 458,631.42 = 205,814.76 : x
  2. Step 2: Convert to fraction form
    305,903.40/458,631.42 = 205,814.76/x
  3. Step 3: Cross multiply
    305,903.40x = 458,631.42 × 205,814.76
  4. Step 4: Simplify right side
    305,903.40x = 94,393,115,635.76
  5. Step 5: Solve for x
    x = 94,393,115,635.76/305,903.40
  6. Step 6: Final answer
    x = 308,571.65

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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.