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Finding the Fourth Proportional to 258,578.76, 356,840.82 and 145,400.52

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Solution

The fourth proportional to 258,578.76, 356,840.82 and 145,400.52 is: 200,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,578.76 : 356,840.82 = 145,400.52 : x
  2. Step 2: Convert to fraction form
    258,578.76/356,840.82 = 145,400.52/x
  3. Step 3: Cross multiply
    258,578.76x = 356,840.82 × 145,400.52
  4. Step 4: Simplify right side
    258,578.76x = 51,884,840,785.23
  5. Step 5: Solve for x
    x = 51,884,840,785.23/258,578.76
  6. Step 6: Final answer
    x = 200,653.92

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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.