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Finding the Fourth Proportional to 313,885.60, 470,137.20 and 219,882.40

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Solution

The fourth proportional to 313,885.60, 470,137.20 and 219,882.40 is: 329,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,885.60 : 470,137.20 = 219,882.40 : x
  2. Step 2: Convert to fraction form
    313,885.60/470,137.20 = 219,882.40/x
  3. Step 3: Cross multiply
    313,885.60x = 470,137.20 × 219,882.40
  4. Step 4: Simplify right side
    313,885.60x = 103,374,895,865.28
  5. Step 5: Solve for x
    x = 103,374,895,865.28/313,885.60
  6. Step 6: Final answer
    x = 329,339.40

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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.