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Finding the Fourth Proportional to 316,098.88, 436,219.89 and 172,855.84

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Solution

The fourth proportional to 316,098.88, 436,219.89 and 172,855.84 is: 238,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,098.88 : 436,219.89 = 172,855.84 : x
  2. Step 2: Convert to fraction form
    316,098.88/436,219.89 = 172,855.84/x
  3. Step 3: Cross multiply
    316,098.88x = 436,219.89 × 172,855.84
  4. Step 4: Simplify right side
    316,098.88x = 75,403,155,510.66
  5. Step 5: Solve for x
    x = 75,403,155,510.66/316,098.88
  6. Step 6: Final answer
    x = 238,542.94

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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.