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Finding the Fourth Proportional to 460,502, 690,791.88 and 128,078

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Solution

The fourth proportional to 460,502, 690,791.88 and 128,078 is: 192,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,502 : 690,791.88 = 128,078 : x
  2. Step 2: Convert to fraction form
    460,502/690,791.88 = 128,078/x
  3. Step 3: Cross multiply
    460,502x = 690,791.88 × 128,078
  4. Step 4: Simplify right side
    460,502x = 88,475,242,406.64
  5. Step 5: Solve for x
    x = 88,475,242,406.64/460,502
  6. Step 6: Final answer
    x = 192,127.81

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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.