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Finding the Fourth Proportional to 412,028.17, 617,959.02 and 286,807.43

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Solution

The fourth proportional to 412,028.17, 617,959.02 and 286,807.43 is: 430,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,028.17 : 617,959.02 = 286,807.43 : x
  2. Step 2: Convert to fraction form
    412,028.17/617,959.02 = 286,807.43/x
  3. Step 3: Cross multiply
    412,028.17x = 617,959.02 × 286,807.43
  4. Step 4: Simplify right side
    412,028.17x = 177,235,240,991.94
  5. Step 5: Solve for x
    x = 177,235,240,991.94/412,028.17
  6. Step 6: Final answer
    x = 430,153.22

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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.