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Finding the Fourth Proportional to 309,871.41, 464,809.16 and 85,255.58

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Solution

The fourth proportional to 309,871.41, 464,809.16 and 85,255.58 is: 127,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,871.41 : 464,809.16 = 85,255.58 : x
  2. Step 2: Convert to fraction form
    309,871.41/464,809.16 = 85,255.58/x
  3. Step 3: Cross multiply
    309,871.41x = 464,809.16 × 85,255.58
  4. Step 4: Simplify right side
    309,871.41x = 39,627,571,774.79
  5. Step 5: Solve for x
    x = 39,627,571,774.79/309,871.41
  6. Step 6: Final answer
    x = 127,883.92

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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.