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Finding the Fourth Proportional to 313,938.20, 470,129.70 and 251,730.20

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Solution

The fourth proportional to 313,938.20, 470,129.70 and 251,730.20 is: 376,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,938.20 : 470,129.70 = 251,730.20 : x
  2. Step 2: Convert to fraction form
    313,938.20/470,129.70 = 251,730.20/x
  3. Step 3: Cross multiply
    313,938.20x = 470,129.70 × 251,730.20
  4. Step 4: Simplify right side
    313,938.20x = 118,345,843,406.94
  5. Step 5: Solve for x
    x = 118,345,843,406.94/313,938.20
  6. Step 6: Final answer
    x = 376,971.78

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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.