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Finding the Fourth Proportional to 323,972.81, 486,052.47 and 99,366.20

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Solution

The fourth proportional to 323,972.81, 486,052.47 and 99,366.20 is: 149,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,972.81 : 486,052.47 = 99,366.20 : x
  2. Step 2: Convert to fraction form
    323,972.81/486,052.47 = 99,366.20/x
  3. Step 3: Cross multiply
    323,972.81x = 486,052.47 × 99,366.20
  4. Step 4: Simplify right side
    323,972.81x = 48,297,186,944.51
  5. Step 5: Solve for x
    x = 48,297,186,944.51/323,972.81
  6. Step 6: Final answer
    x = 149,077.90

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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.