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Finding the Fourth Proportional to 304,636.68, 456,947.28 and 127,139.76

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Solution

The fourth proportional to 304,636.68, 456,947.28 and 127,139.76 is: 190,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,636.68 : 456,947.28 = 127,139.76 : x
  2. Step 2: Convert to fraction form
    304,636.68/456,947.28 = 127,139.76/x
  3. Step 3: Cross multiply
    304,636.68x = 456,947.28 × 127,139.76
  4. Step 4: Simplify right side
    304,636.68x = 58,096,167,511.85
  5. Step 5: Solve for x
    x = 58,096,167,511.85/304,636.68
  6. Step 6: Final answer
    x = 190,706.41

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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.