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Finding the Fourth Proportional to 256,679.40, 385,045.49 and 96,889.93

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Solution

The fourth proportional to 256,679.40, 385,045.49 and 96,889.93 is: 145,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,679.40 : 385,045.49 = 96,889.93 : x
  2. Step 2: Convert to fraction form
    256,679.40/385,045.49 = 96,889.93/x
  3. Step 3: Cross multiply
    256,679.40x = 385,045.49 × 96,889.93
  4. Step 4: Simplify right side
    256,679.40x = 37,307,029,852.53
  5. Step 5: Solve for x
    x = 37,307,029,852.53/256,679.40
  6. Step 6: Final answer
    x = 145,344.85

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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.