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Finding the Fourth Proportional to 460,456, 690,723.12 and 128,032

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Solution

The fourth proportional to 460,456, 690,723.12 and 128,032 is: 192,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,456 : 690,723.12 = 128,032 : x
  2. Step 2: Convert to fraction form
    460,456/690,723.12 = 128,032/x
  3. Step 3: Cross multiply
    460,456x = 690,723.12 × 128,032
  4. Step 4: Simplify right side
    460,456x = 88,434,662,499.84
  5. Step 5: Solve for x
    x = 88,434,662,499.84/460,456
  6. Step 6: Final answer
    x = 192,058.88

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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.