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Finding the Fourth Proportional to 655,906.30, 983,942.52 and 256,495.18

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Solution

The fourth proportional to 655,906.30, 983,942.52 and 256,495.18 is: 384,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,906.30 : 983,942.52 = 256,495.18 : x
  2. Step 2: Convert to fraction form
    655,906.30/983,942.52 = 256,495.18/x
  3. Step 3: Cross multiply
    655,906.30x = 983,942.52 × 256,495.18
  4. Step 4: Simplify right side
    655,906.30x = 252,376,509,642.80
  5. Step 5: Solve for x
    x = 252,376,509,642.80/655,906.30
  6. Step 6: Final answer
    x = 384,775.25

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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.