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Finding the Fourth Proportional to 460,500, 690,788.88 and 128,076

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Solution

The fourth proportional to 460,500, 690,788.88 and 128,076 is: 192,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,500 : 690,788.88 = 128,076 : x
  2. Step 2: Convert to fraction form
    460,500/690,788.88 = 128,076/x
  3. Step 3: Cross multiply
    460,500x = 690,788.88 × 128,076
  4. Step 4: Simplify right side
    460,500x = 88,473,476,594.88
  5. Step 5: Solve for x
    x = 88,473,476,594.88/460,500
  6. Step 6: Final answer
    x = 192,124.81

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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.