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Finding the Fourth Proportional to 280,518, 420,785.46 and 109,732.86

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Solution

The fourth proportional to 280,518, 420,785.46 and 109,732.86 is: 164,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,518 : 420,785.46 = 109,732.86 : x
  2. Step 2: Convert to fraction form
    280,518/420,785.46 = 109,732.86/x
  3. Step 3: Cross multiply
    280,518x = 420,785.46 × 109,732.86
  4. Step 4: Simplify right side
    280,518x = 46,173,991,972.22
  5. Step 5: Solve for x
    x = 46,173,991,972.22/280,518
  6. Step 6: Final answer
    x = 164,602.60

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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.