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Finding the Fourth Proportional to 280,481.94, 420,411.26 and 213,701.90

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Solution

The fourth proportional to 280,481.94, 420,411.26 and 213,701.90 is: 320,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,481.94 : 420,411.26 = 213,701.90 : x
  2. Step 2: Convert to fraction form
    280,481.94/420,411.26 = 213,701.90/x
  3. Step 3: Cross multiply
    280,481.94x = 420,411.26 × 213,701.90
  4. Step 4: Simplify right side
    280,481.94x = 89,842,683,475.59
  5. Step 5: Solve for x
    x = 89,842,683,475.59/280,481.94
  6. Step 6: Final answer
    x = 320,315.40

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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.