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Finding the Fourth Proportional to 305,687.70, 458,116.83 and 172,502.10

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Solution

The fourth proportional to 305,687.70, 458,116.83 and 172,502.10 is: 258,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,687.70 : 458,116.83 = 172,502.10 : x
  2. Step 2: Convert to fraction form
    305,687.70/458,116.83 = 172,502.10/x
  3. Step 3: Cross multiply
    305,687.70x = 458,116.83 × 172,502.10
  4. Step 4: Simplify right side
    305,687.70x = 79,026,115,220.34
  5. Step 5: Solve for x
    x = 79,026,115,220.34/305,687.70
  6. Step 6: Final answer
    x = 258,519.12

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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.