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Finding the Fourth Proportional to 256,702.38, 385,064.50 and 79,205.46

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Solution

The fourth proportional to 256,702.38, 385,064.50 and 79,205.46 is: 118,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,702.38 : 385,064.50 = 79,205.46 : x
  2. Step 2: Convert to fraction form
    256,702.38/385,064.50 = 79,205.46/x
  3. Step 3: Cross multiply
    256,702.38x = 385,064.50 × 79,205.46
  4. Step 4: Simplify right side
    256,702.38x = 30,499,210,852.17
  5. Step 5: Solve for x
    x = 30,499,210,852.17/256,702.38
  6. Step 6: Final answer
    x = 118,811.56

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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.