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Finding the Fourth Proportional to 280,703.58, 420,300.85 and 213,825.12

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Solution

The fourth proportional to 280,703.58, 420,300.85 and 213,825.12 is: 320,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,703.58 : 420,300.85 = 213,825.12 : x
  2. Step 2: Convert to fraction form
    280,703.58/420,300.85 = 213,825.12/x
  3. Step 3: Cross multiply
    280,703.58x = 420,300.85 × 213,825.12
  4. Step 4: Simplify right side
    280,703.58x = 89,870,877,977.58
  5. Step 5: Solve for x
    x = 89,870,877,977.58/280,703.58
  6. Step 6: Final answer
    x = 320,162.92

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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.