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Finding the Fourth Proportional to 280,674.63, 420,728.21 and 120,854.79

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Solution

The fourth proportional to 280,674.63, 420,728.21 and 120,854.79 is: 181,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,674.63 : 420,728.21 = 120,854.79 : x
  2. Step 2: Convert to fraction form
    280,674.63/420,728.21 = 120,854.79/x
  3. Step 3: Cross multiply
    280,674.63x = 420,728.21 × 120,854.79
  4. Step 4: Simplify right side
    280,674.63x = 50,847,018,862.35
  5. Step 5: Solve for x
    x = 50,847,018,862.35/280,674.63
  6. Step 6: Final answer
    x = 181,160.01

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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.