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Finding the Fourth Proportional to 647,168.60, 970,023.90 and 310,370.60

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Solution

The fourth proportional to 647,168.60, 970,023.90 and 310,370.60 is: 465,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,168.60 : 970,023.90 = 310,370.60 : x
  2. Step 2: Convert to fraction form
    647,168.60/970,023.90 = 310,370.60/x
  3. Step 3: Cross multiply
    647,168.60x = 970,023.90 × 310,370.60
  4. Step 4: Simplify right side
    647,168.60x = 301,066,899,857.34
  5. Step 5: Solve for x
    x = 301,066,899,857.34/647,168.60
  6. Step 6: Final answer
    x = 465,206.28

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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.