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Finding the Fourth Proportional to 317,698.91, 438,429.53 and 172,504.61

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Solution

The fourth proportional to 317,698.91, 438,429.53 and 172,504.61 is: 238,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,698.91 : 438,429.53 = 172,504.61 : x
  2. Step 2: Convert to fraction form
    317,698.91/438,429.53 = 172,504.61/x
  3. Step 3: Cross multiply
    317,698.91x = 438,429.53 × 172,504.61
  4. Step 4: Simplify right side
    317,698.91x = 75,631,112,030.46
  5. Step 5: Solve for x
    x = 75,631,112,030.46/317,698.91
  6. Step 6: Final answer
    x = 238,059.09

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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.