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Finding the Fourth Proportional to 309,313.85, 463,366.69 and 146,976.94

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Solution

The fourth proportional to 309,313.85, 463,366.69 and 146,976.94 is: 220,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,313.85 : 463,366.69 = 146,976.94 : x
  2. Step 2: Convert to fraction form
    309,313.85/463,366.69 = 146,976.94/x
  3. Step 3: Cross multiply
    309,313.85x = 463,366.69 × 146,976.94
  4. Step 4: Simplify right side
    309,313.85x = 68,104,218,957.06
  5. Step 5: Solve for x
    x = 68,104,218,957.06/309,313.85
  6. Step 6: Final answer
    x = 220,178.37

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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.