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Finding the Fourth Proportional to 438,740, 658,110.10 and 158,257.22

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Solution

The fourth proportional to 438,740, 658,110.10 and 158,257.22 is: 237,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,740 : 658,110.10 = 158,257.22 : x
  2. Step 2: Convert to fraction form
    438,740/658,110.10 = 158,257.22/x
  3. Step 3: Cross multiply
    438,740x = 658,110.10 × 158,257.22
  4. Step 4: Simplify right side
    438,740x = 104,150,674,879.92
  5. Step 5: Solve for x
    x = 104,150,674,879.92/438,740
  6. Step 6: Final answer
    x = 237,385.87

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1.5x scale

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.