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Finding the Fourth Proportional to 460,496, 690,782.88 and 128,072

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Solution

The fourth proportional to 460,496, 690,782.88 and 128,072 is: 192,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,496 : 690,782.88 = 128,072 : x
  2. Step 2: Convert to fraction form
    460,496/690,782.88 = 128,072/x
  3. Step 3: Cross multiply
    460,496x = 690,782.88 × 128,072
  4. Step 4: Simplify right side
    460,496x = 88,469,945,007.36
  5. Step 5: Solve for x
    x = 88,469,945,007.36/460,496
  6. Step 6: Final answer
    x = 192,118.81

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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.