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Finding the Fourth Proportional to 280,446.94, 420,671.10 and 111,980.98

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Solution

The fourth proportional to 280,446.94, 420,671.10 and 111,980.98 is: 167,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,446.94 : 420,671.10 = 111,980.98 : x
  2. Step 2: Convert to fraction form
    280,446.94/420,671.10 = 111,980.98/x
  3. Step 3: Cross multiply
    280,446.94x = 420,671.10 × 111,980.98
  4. Step 4: Simplify right side
    280,446.94x = 47,107,162,981.45
  5. Step 5: Solve for x
    x = 47,107,162,981.45/280,446.94
  6. Step 6: Final answer
    x = 167,971.75

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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.