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Finding the Fourth Proportional to 282,416.98, 423,697.23 and 80,012.86

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Solution

The fourth proportional to 282,416.98, 423,697.23 and 80,012.86 is: 120,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,416.98 : 423,697.23 = 80,012.86 : x
  2. Step 2: Convert to fraction form
    282,416.98/423,697.23 = 80,012.86/x
  3. Step 3: Cross multiply
    282,416.98x = 423,697.23 × 80,012.86
  4. Step 4: Simplify right side
    282,416.98x = 33,901,228,470.43
  5. Step 5: Solve for x
    x = 33,901,228,470.43/282,416.98
  6. Step 6: Final answer
    x = 120,039.63

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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.