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Finding the Fourth Proportional to 260,801.10, 391,201.65 and 142,407.84

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Solution

The fourth proportional to 260,801.10, 391,201.65 and 142,407.84 is: 213,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,801.10 : 391,201.65 = 142,407.84 : x
  2. Step 2: Convert to fraction form
    260,801.10/391,201.65 = 142,407.84/x
  3. Step 3: Cross multiply
    260,801.10x = 391,201.65 × 142,407.84
  4. Step 4: Simplify right side
    260,801.10x = 55,710,181,980.94
  5. Step 5: Solve for x
    x = 55,710,181,980.94/260,801.10
  6. Step 6: Final answer
    x = 213,611.76

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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.