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Finding the Fourth Proportional to 484,713.40, 726,983.70 and 306,902.20

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Solution

The fourth proportional to 484,713.40, 726,983.70 and 306,902.20 is: 460,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,713.40 : 726,983.70 = 306,902.20 : x
  2. Step 2: Convert to fraction form
    484,713.40/726,983.70 = 306,902.20/x
  3. Step 3: Cross multiply
    484,713.40x = 726,983.70 × 306,902.20
  4. Step 4: Simplify right side
    484,713.40x = 223,112,896,894.14
  5. Step 5: Solve for x
    x = 223,112,896,894.14/484,713.40
  6. Step 6: Final answer
    x = 460,298.59

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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.