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Finding the Fourth Proportional to 286,098.99, 394,693.25 and 172,856.13

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Solution

The fourth proportional to 286,098.99, 394,693.25 and 172,856.13 is: 238,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,098.99 : 394,693.25 = 172,856.13 : x
  2. Step 2: Convert to fraction form
    286,098.99/394,693.25 = 172,856.13/x
  3. Step 3: Cross multiply
    286,098.99x = 394,693.25 × 172,856.13
  4. Step 4: Simplify right side
    286,098.99x = 68,225,145,758.66
  5. Step 5: Solve for x
    x = 68,225,145,758.66/286,098.99
  6. Step 6: Final answer
    x = 238,466.93

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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.