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Finding the Fourth Proportional to 313,959.20, 470,938.80 and 126,970.70

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Solution

The fourth proportional to 313,959.20, 470,938.80 and 126,970.70 is: 190,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,959.20 : 470,938.80 = 126,970.70 : x
  2. Step 2: Convert to fraction form
    313,959.20/470,938.80 = 126,970.70/x
  3. Step 3: Cross multiply
    313,959.20x = 470,938.80 × 126,970.70
  4. Step 4: Simplify right side
    313,959.20x = 59,795,429,093.16
  5. Step 5: Solve for x
    x = 59,795,429,093.16/313,959.20
  6. Step 6: Final answer
    x = 190,456.05

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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.