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Finding the Fourth Proportional to 260,800.10, 391,200.14 and 142,406.86

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Solution

The fourth proportional to 260,800.10, 391,200.14 and 142,406.86 is: 213,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,800.10 : 391,200.14 = 142,406.86 : x
  2. Step 2: Convert to fraction form
    260,800.10/391,200.14 = 142,406.86/x
  3. Step 3: Cross multiply
    260,800.10x = 391,200.14 × 142,406.86
  4. Step 4: Simplify right side
    260,800.10x = 55,709,583,568.96
  5. Step 5: Solve for x
    x = 55,709,583,568.96/260,800.10
  6. Step 6: Final answer
    x = 213,610.28

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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.