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Finding the Fourth Proportional to 308,058.60, 462,023.10 and 130,571.40

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Solution

The fourth proportional to 308,058.60, 462,023.10 and 130,571.40 is: 195,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,058.60 : 462,023.10 = 130,571.40 : x
  2. Step 2: Convert to fraction form
    308,058.60/462,023.10 = 130,571.40/x
  3. Step 3: Cross multiply
    308,058.60x = 462,023.10 × 130,571.40
  4. Step 4: Simplify right side
    308,058.60x = 60,327,002,999.34
  5. Step 5: Solve for x
    x = 60,327,002,999.34/308,058.60
  6. Step 6: Final answer
    x = 195,829.63

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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.