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Finding the Fourth Proportional to 461,645.91, 637,103.58 and 257,736.90

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Solution

The fourth proportional to 461,645.91, 637,103.58 and 257,736.90 is: 355,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,645.91 : 637,103.58 = 257,736.90 : x
  2. Step 2: Convert to fraction form
    461,645.91/637,103.58 = 257,736.90/x
  3. Step 3: Cross multiply
    461,645.91x = 637,103.58 × 257,736.90
  4. Step 4: Simplify right side
    461,645.91x = 164,205,101,688.10
  5. Step 5: Solve for x
    x = 164,205,101,688.10/461,645.91
  6. Step 6: Final answer
    x = 355,694.91

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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.