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Finding the Fourth Proportional to 313,938.40, 470,907.60 and 289,976.80

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Solution

The fourth proportional to 313,938.40, 470,907.60 and 289,976.80 is: 434,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,938.40 : 470,907.60 = 289,976.80 : x
  2. Step 2: Convert to fraction form
    313,938.40/470,907.60 = 289,976.80/x
  3. Step 3: Cross multiply
    313,938.40x = 470,907.60 × 289,976.80
  4. Step 4: Simplify right side
    313,938.40x = 136,552,278,943.68
  5. Step 5: Solve for x
    x = 136,552,278,943.68/313,938.40
  6. Step 6: Final answer
    x = 434,965.20

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1.5x scale

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.