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Finding the Fourth Proportional to 729,114, 1,094,157 and 280,205.52

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Solution

The fourth proportional to 729,114, 1,094,157 and 280,205.52 is: 420,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,114 : 1,094,157 = 280,205.52 : x
  2. Step 2: Convert to fraction form
    729,114/1,094,157 = 280,205.52/x
  3. Step 3: Cross multiply
    729,114x = 1,094,157 × 280,205.52
  4. Step 4: Simplify right side
    729,114x = 306,588,831,146.64
  5. Step 5: Solve for x
    x = 306,588,831,146.64/729,114
  6. Step 6: Final answer
    x = 420,495.05

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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.