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Finding the Fourth Proportional to 260,021.53, 358,822.85 and 145,301.12

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Solution

The fourth proportional to 260,021.53, 358,822.85 and 145,301.12 is: 200,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,021.53 : 358,822.85 = 145,301.12 : x
  2. Step 2: Convert to fraction form
    260,021.53/358,822.85 = 145,301.12/x
  3. Step 3: Cross multiply
    260,021.53x = 358,822.85 × 145,301.12
  4. Step 4: Simplify right side
    260,021.53x = 52,137,361,316.15
  5. Step 5: Solve for x
    x = 52,137,361,316.15/260,021.53
  6. Step 6: Final answer
    x = 200,511.71

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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.