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Finding the Fourth Proportional to 461,716.72, 637,179.78 and 289,641.92

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Solution

The fourth proportional to 461,716.72, 637,179.78 and 289,641.92 is: 399,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,716.72 : 637,179.78 = 289,641.92 : x
  2. Step 2: Convert to fraction form
    461,716.72/637,179.78 = 289,641.92/x
  3. Step 3: Cross multiply
    461,716.72x = 637,179.78 × 289,641.92
  4. Step 4: Simplify right side
    461,716.72x = 184,553,976,457.33
  5. Step 5: Solve for x
    x = 184,553,976,457.33/461,716.72
  6. Step 6: Final answer
    x = 399,712.57

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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.