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Finding the Fourth Proportional to 260,800.14, 359,879.31 and 207,214.86

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Solution

The fourth proportional to 260,800.14, 359,879.31 and 207,214.86 is: 285,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,800.14 : 359,879.31 = 207,214.86 : x
  2. Step 2: Convert to fraction form
    260,800.14/359,879.31 = 207,214.86/x
  3. Step 3: Cross multiply
    260,800.14x = 359,879.31 × 207,214.86
  4. Step 4: Simplify right side
    260,800.14x = 74,572,340,838.55
  5. Step 5: Solve for x
    x = 74,572,340,838.55/260,800.14
  6. Step 6: Final answer
    x = 285,936.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.