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Finding the Fourth Proportional to 280,113, 420,195.12 and 111,592.48

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Solution

The fourth proportional to 280,113, 420,195.12 and 111,592.48 is: 167,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,113 : 420,195.12 = 111,592.48 : x
  2. Step 2: Convert to fraction form
    280,113/420,195.12 = 111,592.48/x
  3. Step 3: Cross multiply
    280,113x = 420,195.12 × 111,592.48
  4. Step 4: Simplify right side
    280,113x = 46,890,615,524.70
  5. Step 5: Solve for x
    x = 46,890,615,524.70/280,113
  6. Step 6: Final answer
    x = 167,398.93

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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.