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Finding the Fourth Proportional to 310,651.84, 465,900.66 and 133,138.72

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Solution

The fourth proportional to 310,651.84, 465,900.66 and 133,138.72 is: 199,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,651.84 : 465,900.66 = 133,138.72 : x
  2. Step 2: Convert to fraction form
    310,651.84/465,900.66 = 133,138.72/x
  3. Step 3: Cross multiply
    310,651.84x = 465,900.66 × 133,138.72
  4. Step 4: Simplify right side
    310,651.84x = 62,029,417,519.56
  5. Step 5: Solve for x
    x = 62,029,417,519.56/310,651.84
  6. Step 6: Final answer
    x = 199,675.04

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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.