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Finding the Fourth Proportional to 421,152, 631,837.44 and 125,664

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Solution

The fourth proportional to 421,152, 631,837.44 and 125,664 is: 188,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,152 : 631,837.44 = 125,664 : x
  2. Step 2: Convert to fraction form
    421,152/631,837.44 = 125,664/x
  3. Step 3: Cross multiply
    421,152x = 631,837.44 × 125,664
  4. Step 4: Simplify right side
    421,152x = 79,399,220,060.16
  5. Step 5: Solve for x
    x = 79,399,220,060.16/421,152
  6. Step 6: Final answer
    x = 188,528.65

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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.