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Finding the Fourth Proportional to 310,537.78, 465,806.43 and 100,175.74

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Solution

The fourth proportional to 310,537.78, 465,806.43 and 100,175.74 is: 150,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,537.78 : 465,806.43 = 100,175.74 : x
  2. Step 2: Convert to fraction form
    310,537.78/465,806.43 = 100,175.74/x
  3. Step 3: Cross multiply
    310,537.78x = 465,806.43 × 100,175.74
  4. Step 4: Simplify right side
    310,537.78x = 46,662,503,822.01
  5. Step 5: Solve for x
    x = 46,662,503,822.01/310,537.78
  6. Step 6: Final answer
    x = 150,263.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.