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Finding the Fourth Proportional to 313,948.40, 470,922.60 and 289,986.80

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Solution

The fourth proportional to 313,948.40, 470,922.60 and 289,986.80 is: 434,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,948.40 : 470,922.60 = 289,986.80 : x
  2. Step 2: Convert to fraction form
    313,948.40/470,922.60 = 289,986.80/x
  3. Step 3: Cross multiply
    313,948.40x = 470,922.60 × 289,986.80
  4. Step 4: Simplify right side
    313,948.40x = 136,561,337,821.68
  5. Step 5: Solve for x
    x = 136,561,337,821.68/313,948.40
  6. Step 6: Final answer
    x = 434,980.20

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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.