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Finding the Fourth Proportional to 460,495, 690,781.38 and 128,071

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Solution

The fourth proportional to 460,495, 690,781.38 and 128,071 is: 192,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,495 : 690,781.38 = 128,071 : x
  2. Step 2: Convert to fraction form
    460,495/690,781.38 = 128,071/x
  3. Step 3: Cross multiply
    460,495x = 690,781.38 × 128,071
  4. Step 4: Simplify right side
    460,495x = 88,469,062,117.98
  5. Step 5: Solve for x
    x = 88,469,062,117.98/460,495
  6. Step 6: Final answer
    x = 192,117.31

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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.