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Finding the Fourth Proportional to 280,496.22, 420,752.84 and 109,711.12

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Solution

The fourth proportional to 280,496.22, 420,752.84 and 109,711.12 is: 164,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,496.22 : 420,752.84 = 109,711.12 : x
  2. Step 2: Convert to fraction form
    280,496.22/420,752.84 = 109,711.12/x
  3. Step 3: Cross multiply
    280,496.22x = 420,752.84 × 109,711.12
  4. Step 4: Simplify right side
    280,496.22x = 46,161,265,319.58
  5. Step 5: Solve for x
    x = 46,161,265,319.58/280,496.22
  6. Step 6: Final answer
    x = 164,570.01

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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.