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Finding the Fourth Proportional to 315,762.84, 435,747.56 and 172,519.80

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Solution

The fourth proportional to 315,762.84, 435,747.56 and 172,519.80 is: 238,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,762.84 : 435,747.56 = 172,519.80 : x
  2. Step 2: Convert to fraction form
    315,762.84/435,747.56 = 172,519.80/x
  3. Step 3: Cross multiply
    315,762.84x = 435,747.56 × 172,519.80
  4. Step 4: Simplify right side
    315,762.84x = 75,175,081,901.69
  5. Step 5: Solve for x
    x = 75,175,081,901.69/315,762.84
  6. Step 6: Final answer
    x = 238,074.51

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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.