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Finding the Fourth Proportional to 315,758.43, 435,733.83 and 172,523.43

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Solution

The fourth proportional to 315,758.43, 435,733.83 and 172,523.43 is: 238,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,758.43 : 435,733.83 = 172,523.43 : x
  2. Step 2: Convert to fraction form
    315,758.43/435,733.83 = 172,523.43/x
  3. Step 3: Cross multiply
    315,758.43x = 435,733.83 × 172,523.43
  4. Step 4: Simplify right side
    315,758.43x = 75,174,294,918.64
  5. Step 5: Solve for x
    x = 75,174,294,918.64/315,758.43
  6. Step 6: Final answer
    x = 238,075.34

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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.