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Finding the Fourth Proportional to 421,465.20, 632,197.80 and 221,708.40

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Solution

The fourth proportional to 421,465.20, 632,197.80 and 221,708.40 is: 332,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,465.20 : 632,197.80 = 221,708.40 : x
  2. Step 2: Convert to fraction form
    421,465.20/632,197.80 = 221,708.40/x
  3. Step 3: Cross multiply
    421,465.20x = 632,197.80 × 221,708.40
  4. Step 4: Simplify right side
    421,465.20x = 140,163,562,721.52
  5. Step 5: Solve for x
    x = 140,163,562,721.52/421,465.20
  6. Step 6: Final answer
    x = 332,562.60

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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.