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Finding the Fourth Proportional to 421,727.64, 632,520.84 and 185,006.76

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Solution

The fourth proportional to 421,727.64, 632,520.84 and 185,006.76 is: 277,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,727.64 : 632,520.84 = 185,006.76 : x
  2. Step 2: Convert to fraction form
    421,727.64/632,520.84 = 185,006.76/x
  3. Step 3: Cross multiply
    421,727.64x = 632,520.84 × 185,006.76
  4. Step 4: Simplify right side
    421,727.64x = 117,020,631,240.88
  5. Step 5: Solve for x
    x = 117,020,631,240.88/421,727.64
  6. Step 6: Final answer
    x = 277,479.16

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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.