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Finding the Fourth Proportional to 421,276.68, 632,072.78 and 218,746.36

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Solution

The fourth proportional to 421,276.68, 632,072.78 and 218,746.36 is: 328,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,276.68 : 632,072.78 = 218,746.36 : x
  2. Step 2: Convert to fraction form
    421,276.68/632,072.78 = 218,746.36/x
  3. Step 3: Cross multiply
    421,276.68x = 632,072.78 × 218,746.36
  4. Step 4: Simplify right side
    421,276.68x = 138,263,619,880.08
  5. Step 5: Solve for x
    x = 138,263,619,880.08/421,276.68
  6. Step 6: Final answer
    x = 328,201.46

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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.