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Finding the Fourth Proportional to 458,039.88, 687,106.92 and 158,520

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Solution

The fourth proportional to 458,039.88, 687,106.92 and 158,520 is: 237,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,039.88 : 687,106.92 = 158,520 : x
  2. Step 2: Convert to fraction form
    458,039.88/687,106.92 = 158,520/x
  3. Step 3: Cross multiply
    458,039.88x = 687,106.92 × 158,520
  4. Step 4: Simplify right side
    458,039.88x = 108,920,188,958.40
  5. Step 5: Solve for x
    x = 108,920,188,958.40/458,039.88
  6. Step 6: Final answer
    x = 237,796.30

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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.