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Finding the Fourth Proportional to 313,886.60, 470,138.70 and 219,883.40

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Solution

The fourth proportional to 313,886.60, 470,138.70 and 219,883.40 is: 329,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886.60 : 470,138.70 = 219,883.40 : x
  2. Step 2: Convert to fraction form
    313,886.60/470,138.70 = 219,883.40/x
  3. Step 3: Cross multiply
    313,886.60x = 470,138.70 × 219,883.40
  4. Step 4: Simplify right side
    313,886.60x = 103,375,695,827.58
  5. Step 5: Solve for x
    x = 103,375,695,827.58/313,886.60
  6. Step 6: Final answer
    x = 329,340.90

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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.