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Finding the Fourth Proportional to 307,009.20, 459,857.70 and 254,521.20

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Solution

The fourth proportional to 307,009.20, 459,857.70 and 254,521.20 is: 381,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,009.20 : 459,857.70 = 254,521.20 : x
  2. Step 2: Convert to fraction form
    307,009.20/459,857.70 = 254,521.20/x
  3. Step 3: Cross multiply
    307,009.20x = 459,857.70 × 254,521.20
  4. Step 4: Simplify right side
    307,009.20x = 117,043,533,633.24
  5. Step 5: Solve for x
    x = 117,043,533,633.24/307,009.20
  6. Step 6: Final answer
    x = 381,237.87

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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.