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Finding the Fourth Proportional to 280,291.21, 420,186.83 and 102,756.83

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Solution

The fourth proportional to 280,291.21, 420,186.83 and 102,756.83 is: 154,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,291.21 : 420,186.83 = 102,756.83 : x
  2. Step 2: Convert to fraction form
    280,291.21/420,186.83 = 102,756.83/x
  3. Step 3: Cross multiply
    280,291.21x = 420,186.83 × 102,756.83
  4. Step 4: Simplify right side
    280,291.21x = 43,177,064,043.83
  5. Step 5: Solve for x
    x = 43,177,064,043.83/280,291.21
  6. Step 6: Final answer
    x = 154,043.59

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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.