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Finding the Fourth Proportional to 258,491.40, 387,661.72 and 100,682.32

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Solution

The fourth proportional to 258,491.40, 387,661.72 and 100,682.32 is: 150,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,491.40 : 387,661.72 = 100,682.32 : x
  2. Step 2: Convert to fraction form
    258,491.40/387,661.72 = 100,682.32/x
  3. Step 3: Cross multiply
    258,491.40x = 387,661.72 × 100,682.32
  4. Step 4: Simplify right side
    258,491.40x = 39,030,681,344.79
  5. Step 5: Solve for x
    x = 39,030,681,344.79/258,491.40
  6. Step 6: Final answer
    x = 150,994.12

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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.