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Finding the Fourth Proportional to 648,838.30, 973,358.61 and 311,816.14

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Solution

The fourth proportional to 648,838.30, 973,358.61 and 311,816.14 is: 467,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,838.30 : 973,358.61 = 311,816.14 : x
  2. Step 2: Convert to fraction form
    648,838.30/973,358.61 = 311,816.14/x
  3. Step 3: Cross multiply
    648,838.30x = 973,358.61 × 311,816.14
  4. Step 4: Simplify right side
    648,838.30x = 303,508,924,605.97
  5. Step 5: Solve for x
    x = 303,508,924,605.97/648,838.30
  6. Step 6: Final answer
    x = 467,772.83

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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.