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Finding the Fourth Proportional to 421,708.20, 632,708.10 and 407,128.20

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Solution

The fourth proportional to 421,708.20, 632,708.10 and 407,128.20 is: 610,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,708.20 : 632,708.10 = 407,128.20 : x
  2. Step 2: Convert to fraction form
    421,708.20/632,708.10 = 407,128.20/x
  3. Step 3: Cross multiply
    421,708.20x = 632,708.10 × 407,128.20
  4. Step 4: Simplify right side
    421,708.20x = 257,593,309,878.42
  5. Step 5: Solve for x
    x = 257,593,309,878.42/421,708.20
  6. Step 6: Final answer
    x = 610,833.06

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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.