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Finding the Fourth Proportional to 421,957.64, 632,956.86 and 137,647.64

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Solution

The fourth proportional to 421,957.64, 632,956.86 and 137,647.64 is: 206,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,957.64 : 632,956.86 = 137,647.64 : x
  2. Step 2: Convert to fraction form
    421,957.64/632,956.86 = 137,647.64/x
  3. Step 3: Cross multiply
    421,957.64x = 632,956.86 × 137,647.64
  4. Step 4: Simplify right side
    421,957.64x = 87,125,019,583.20
  5. Step 5: Solve for x
    x = 87,125,019,583.20/421,957.64
  6. Step 6: Final answer
    x = 206,478.12

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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.