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Finding the Fourth Proportional to 412,078.12, 617,315.28 and 303,810.28

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Solution

The fourth proportional to 412,078.12, 617,315.28 and 303,810.28 is: 455,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,078.12 : 617,315.28 = 303,810.28 : x
  2. Step 2: Convert to fraction form
    412,078.12/617,315.28 = 303,810.28/x
  3. Step 3: Cross multiply
    412,078.12x = 617,315.28 × 303,810.28
  4. Step 4: Simplify right side
    412,078.12x = 187,546,725,382.50
  5. Step 5: Solve for x
    x = 187,546,725,382.50/412,078.12
  6. Step 6: Final answer
    x = 455,124.20

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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.