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Finding the Fourth Proportional to 258,866.39, 357,259.74 and 151,429.61

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Solution

The fourth proportional to 258,866.39, 357,259.74 and 151,429.61 is: 208,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,866.39 : 357,259.74 = 151,429.61 : x
  2. Step 2: Convert to fraction form
    258,866.39/357,259.74 = 151,429.61/x
  3. Step 3: Cross multiply
    258,866.39x = 357,259.74 × 151,429.61
  4. Step 4: Simplify right side
    258,866.39x = 54,099,703,096.90
  5. Step 5: Solve for x
    x = 54,099,703,096.90/258,866.39
  6. Step 6: Final answer
    x = 208,986.97

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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.