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Finding the Fourth Proportional to 421,871.20, 632,622.16 and 126,314.08

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Solution

The fourth proportional to 421,871.20, 632,622.16 and 126,314.08 is: 189,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,871.20 : 632,622.16 = 126,314.08 : x
  2. Step 2: Convert to fraction form
    421,871.20/632,622.16 = 126,314.08/x
  3. Step 3: Cross multiply
    421,871.20x = 632,622.16 × 126,314.08
  4. Step 4: Simplify right side
    421,871.20x = 79,909,086,128.01
  5. Step 5: Solve for x
    x = 79,909,086,128.01/421,871.20
  6. Step 6: Final answer
    x = 189,415.84

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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.