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Finding the Fourth Proportional to 421,931.70, 632,904.06 and 137,621.04

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Solution

The fourth proportional to 421,931.70, 632,904.06 and 137,621.04 is: 206,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,931.70 : 632,904.06 = 137,621.04 : x
  2. Step 2: Convert to fraction form
    421,931.70/632,904.06 = 137,621.04/x
  3. Step 3: Cross multiply
    421,931.70x = 632,904.06 × 137,621.04
  4. Step 4: Simplify right side
    421,931.70x = 87,100,914,957.42
  5. Step 5: Solve for x
    x = 87,100,914,957.42/421,931.70
  6. Step 6: Final answer
    x = 206,433.68

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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.