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Finding the Fourth Proportional to 315,814.97, 435,825.82 and 172,575.04

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Solution

The fourth proportional to 315,814.97, 435,825.82 and 172,575.04 is: 238,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,814.97 : 435,825.82 = 172,575.04 : x
  2. Step 2: Convert to fraction form
    315,814.97/435,825.82 = 172,575.04/x
  3. Step 3: Cross multiply
    315,814.97x = 435,825.82 × 172,575.04
  4. Step 4: Simplify right side
    315,814.97x = 75,212,656,140.40
  5. Step 5: Solve for x
    x = 75,212,656,140.40/315,814.97
  6. Step 6: Final answer
    x = 238,154.18

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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.