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Finding the Fourth Proportional to 307,710.40, 461,738.40 and 130,187.20

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Solution

The fourth proportional to 307,710.40, 461,738.40 and 130,187.20 is: 195,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,710.40 : 461,738.40 = 130,187.20 : x
  2. Step 2: Convert to fraction form
    307,710.40/461,738.40 = 130,187.20/x
  3. Step 3: Cross multiply
    307,710.40x = 461,738.40 × 130,187.20
  4. Step 4: Simplify right side
    307,710.40x = 60,112,429,428.48
  5. Step 5: Solve for x
    x = 60,112,429,428.48/307,710.40
  6. Step 6: Final answer
    x = 195,353.91

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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.