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Finding the Fourth Proportional to 258,435.36, 387,374.40 and 125,033.76

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Solution

The fourth proportional to 258,435.36, 387,374.40 and 125,033.76 is: 187,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,435.36 : 387,374.40 = 125,033.76 : x
  2. Step 2: Convert to fraction form
    258,435.36/387,374.40 = 125,033.76/x
  3. Step 3: Cross multiply
    258,435.36x = 387,374.40 × 125,033.76
  4. Step 4: Simplify right side
    258,435.36x = 48,434,877,759.74
  5. Step 5: Solve for x
    x = 48,434,877,759.74/258,435.36
  6. Step 6: Final answer
    x = 187,415.83

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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.