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Finding the Fourth Proportional to 398,702.56, 597,878.24 and 145,917.36

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Solution

The fourth proportional to 398,702.56, 597,878.24 and 145,917.36 is: 218,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,702.56 : 597,878.24 = 145,917.36 : x
  2. Step 2: Convert to fraction form
    398,702.56/597,878.24 = 145,917.36/x
  3. Step 3: Cross multiply
    398,702.56x = 597,878.24 × 145,917.36
  4. Step 4: Simplify right side
    398,702.56x = 87,240,814,382.25
  5. Step 5: Solve for x
    x = 87,240,814,382.25/398,702.56
  6. Step 6: Final answer
    x = 218,811.77

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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.