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Finding the Fourth Proportional to 469,152, 703,857.60 and 136,728

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Solution

The fourth proportional to 469,152, 703,857.60 and 136,728 is: 205,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,152 : 703,857.60 = 136,728 : x
  2. Step 2: Convert to fraction form
    469,152/703,857.60 = 136,728/x
  3. Step 3: Cross multiply
    469,152x = 703,857.60 × 136,728
  4. Step 4: Simplify right side
    469,152x = 96,237,041,932.80
  5. Step 5: Solve for x
    x = 96,237,041,932.80/469,152
  6. Step 6: Final answer
    x = 205,129.77

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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.