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Finding the Fourth Proportional to 258,400.38, 387,675.90 and 158,624.58

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Solution

The fourth proportional to 258,400.38, 387,675.90 and 158,624.58 is: 237,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,400.38 : 387,675.90 = 158,624.58 : x
  2. Step 2: Convert to fraction form
    258,400.38/387,675.90 = 158,624.58/x
  3. Step 3: Cross multiply
    258,400.38x = 387,675.90 × 158,624.58
  4. Step 4: Simplify right side
    258,400.38x = 61,494,926,813.62
  5. Step 5: Solve for x
    x = 61,494,926,813.62/258,400.38
  6. Step 6: Final answer
    x = 237,983.11

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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.