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Finding the Fourth Proportional to 315,706.10, 435,668.93 and 172,462.46

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Solution

The fourth proportional to 315,706.10, 435,668.93 and 172,462.46 is: 237,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,706.10 : 435,668.93 = 172,462.46 : x
  2. Step 2: Convert to fraction form
    315,706.10/435,668.93 = 172,462.46/x
  3. Step 3: Cross multiply
    315,706.10x = 435,668.93 × 172,462.46
  4. Step 4: Simplify right side
    315,706.10x = 75,136,534,551.06
  5. Step 5: Solve for x
    x = 75,136,534,551.06/315,706.10
  6. Step 6: Final answer
    x = 237,995.19

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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.