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Finding the Fourth Proportional to 460,453, 690,718.62 and 128,029

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Solution

The fourth proportional to 460,453, 690,718.62 and 128,029 is: 192,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,453 : 690,718.62 = 128,029 : x
  2. Step 2: Convert to fraction form
    460,453/690,718.62 = 128,029/x
  3. Step 3: Cross multiply
    460,453x = 690,718.62 × 128,029
  4. Step 4: Simplify right side
    460,453x = 88,432,014,199.98
  5. Step 5: Solve for x
    x = 88,432,014,199.98/460,453
  6. Step 6: Final answer
    x = 192,054.38

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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.