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Finding the Fourth Proportional to 421,328.32, 631,993.12 and 168,722.56

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Solution

The fourth proportional to 421,328.32, 631,993.12 and 168,722.56 is: 253,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,328.32 : 631,993.12 = 168,722.56 : x
  2. Step 2: Convert to fraction form
    421,328.32/631,993.12 = 168,722.56/x
  3. Step 3: Cross multiply
    421,328.32x = 631,993.12 × 168,722.56
  4. Step 4: Simplify right side
    421,328.32x = 106,631,497,108.79
  5. Step 5: Solve for x
    x = 106,631,497,108.79/421,328.32
  6. Step 6: Final answer
    x = 253,084.10

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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.