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Finding the Fourth Proportional to 305,047.20, 457,601.20 and 127,609.76

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Solution

The fourth proportional to 305,047.20, 457,601.20 and 127,609.76 is: 191,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,047.20 : 457,601.20 = 127,609.76 : x
  2. Step 2: Convert to fraction form
    305,047.20/457,601.20 = 127,609.76/x
  3. Step 3: Cross multiply
    305,047.20x = 457,601.20 × 127,609.76
  4. Step 4: Simplify right side
    305,047.20x = 58,394,379,307.71
  5. Step 5: Solve for x
    x = 58,394,379,307.71/305,047.20
  6. Step 6: Final answer
    x = 191,427.36

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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.