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Finding the Fourth Proportional to 258,479.60, 356,702.94 and 145,295.12

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Solution

The fourth proportional to 258,479.60, 356,702.94 and 145,295.12 is: 200,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,479.60 : 356,702.94 = 145,295.12 : x
  2. Step 2: Convert to fraction form
    258,479.60/356,702.94 = 145,295.12/x
  3. Step 3: Cross multiply
    258,479.60x = 356,702.94 × 145,295.12
  4. Step 4: Simplify right side
    258,479.60x = 51,827,196,471.65
  5. Step 5: Solve for x
    x = 51,827,196,471.65/258,479.60
  6. Step 6: Final answer
    x = 200,507.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.