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Finding the Fourth Proportional to 258,468.33, 356,702.63 and 145,298.37

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Solution

The fourth proportional to 258,468.33, 356,702.63 and 145,298.37 is: 200,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,468.33 : 356,702.63 = 145,298.37 : x
  2. Step 2: Convert to fraction form
    258,468.33/356,702.63 = 145,298.37/x
  3. Step 3: Cross multiply
    258,468.33x = 356,702.63 × 145,298.37
  4. Step 4: Simplify right side
    258,468.33x = 51,828,309,987.22
  5. Step 5: Solve for x
    x = 51,828,309,987.22/258,468.33
  6. Step 6: Final answer
    x = 200,520.93

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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.