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Finding the Fourth Proportional to 307,803.60, 461,754 and 130,311.72

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Solution

The fourth proportional to 307,803.60, 461,754 and 130,311.72 is: 195,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,803.60 : 461,754 = 130,311.72 : x
  2. Step 2: Convert to fraction form
    307,803.60/461,754 = 130,311.72/x
  3. Step 3: Cross multiply
    307,803.60x = 461,754 × 130,311.72
  4. Step 4: Simplify right side
    307,803.60x = 60,171,957,956.88
  5. Step 5: Solve for x
    x = 60,171,957,956.88/307,803.60
  6. Step 6: Final answer
    x = 195,488.16

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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.