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Finding the Fourth Proportional to 303,133.17, 454,701.28 and 78,477.85

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Solution

The fourth proportional to 303,133.17, 454,701.28 and 78,477.85 is: 117,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,133.17 : 454,701.28 = 78,477.85 : x
  2. Step 2: Convert to fraction form
    303,133.17/454,701.28 = 78,477.85/x
  3. Step 3: Cross multiply
    303,133.17x = 454,701.28 × 78,477.85
  4. Step 4: Simplify right side
    303,133.17x = 35,683,978,846.65
  5. Step 5: Solve for x
    x = 35,683,978,846.65/303,133.17
  6. Step 6: Final answer
    x = 117,717.17

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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.