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Finding the Fourth Proportional to 284,805, 426,928.05 and 158,505.75

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Solution

The fourth proportional to 284,805, 426,928.05 and 158,505.75 is: 237,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,805 : 426,928.05 = 158,505.75 : x
  2. Step 2: Convert to fraction form
    284,805/426,928.05 = 158,505.75/x
  3. Step 3: Cross multiply
    284,805x = 426,928.05 × 158,505.75
  4. Step 4: Simplify right side
    284,805x = 67,670,550,761.29
  5. Step 5: Solve for x
    x = 67,670,550,761.29/284,805
  6. Step 6: Final answer
    x = 237,603.10

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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.