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Finding the Fourth Proportional to 313,931.76, 470,887.11 and 136,438.76

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Solution

The fourth proportional to 313,931.76, 470,887.11 and 136,438.76 is: 204,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,931.76 : 470,887.11 = 136,438.76 : x
  2. Step 2: Convert to fraction form
    313,931.76/470,887.11 = 136,438.76/x
  3. Step 3: Cross multiply
    313,931.76x = 470,887.11 × 136,438.76
  4. Step 4: Simplify right side
    313,931.76x = 64,247,251,033.95
  5. Step 5: Solve for x
    x = 64,247,251,033.95/313,931.76
  6. Step 6: Final answer
    x = 204,653.56

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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.