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Finding the Fourth Proportional to 280,421.80, 420,632.62 and 83,429.80

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Solution

The fourth proportional to 280,421.80, 420,632.62 and 83,429.80 is: 125,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,421.80 : 420,632.62 = 83,429.80 : x
  2. Step 2: Convert to fraction form
    280,421.80/420,632.62 = 83,429.80/x
  3. Step 3: Cross multiply
    280,421.80x = 420,632.62 × 83,429.80
  4. Step 4: Simplify right side
    280,421.80x = 35,093,295,360.08
  5. Step 5: Solve for x
    x = 35,093,295,360.08/280,421.80
  6. Step 6: Final answer
    x = 125,144.68

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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.