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Finding the Fourth Proportional to 256,745.70, 385,184.16 and 98,931.78

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Solution

The fourth proportional to 256,745.70, 385,184.16 and 98,931.78 is: 148,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,745.70 : 385,184.16 = 98,931.78 : x
  2. Step 2: Convert to fraction form
    256,745.70/385,184.16 = 98,931.78/x
  3. Step 3: Cross multiply
    256,745.70x = 385,184.16 × 98,931.78
  4. Step 4: Simplify right side
    256,745.70x = 38,106,954,576.60
  5. Step 5: Solve for x
    x = 38,106,954,576.60/256,745.70
  6. Step 6: Final answer
    x = 148,422.95

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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.