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Finding the Fourth Proportional to 412,333.92, 618,120.32 and 286,033.76

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Solution

The fourth proportional to 412,333.92, 618,120.32 and 286,033.76 is: 428,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,333.92 : 618,120.32 = 286,033.76 : x
  2. Step 2: Convert to fraction form
    412,333.92/618,120.32 = 286,033.76/x
  3. Step 3: Cross multiply
    412,333.92x = 618,120.32 × 286,033.76
  4. Step 4: Simplify right side
    412,333.92x = 176,803,279,262.00
  5. Step 5: Solve for x
    x = 176,803,279,262.00/412,333.92
  6. Step 6: Final answer
    x = 428,786.65

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1.5x scale

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.