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Finding the Fourth Proportional to 307,430.80, 461,232.60 and 130,022.80

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Solution

The fourth proportional to 307,430.80, 461,232.60 and 130,022.80 is: 195,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,430.80 : 461,232.60 = 130,022.80 : x
  2. Step 2: Convert to fraction form
    307,430.80/461,232.60 = 130,022.80/x
  3. Step 3: Cross multiply
    307,430.80x = 461,232.60 × 130,022.80
  4. Step 4: Simplify right side
    307,430.80x = 59,970,754,103.28
  5. Step 5: Solve for x
    x = 59,970,754,103.28/307,430.80
  6. Step 6: Final answer
    x = 195,070.74

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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.