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Finding the Fourth Proportional to 315,694.53, 435,668.04 and 172,463.81

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Solution

The fourth proportional to 315,694.53, 435,668.04 and 172,463.81 is: 238,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,694.53 : 435,668.04 = 172,463.81 : x
  2. Step 2: Convert to fraction form
    315,694.53/435,668.04 = 172,463.81/x
  3. Step 3: Cross multiply
    315,694.53x = 435,668.04 × 172,463.81
  4. Step 4: Simplify right side
    315,694.53x = 75,136,967,895.29
  5. Step 5: Solve for x
    x = 75,136,967,895.29/315,694.53
  6. Step 6: Final answer
    x = 238,005.29

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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.