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Finding the Fourth Proportional to 460,976, 691,580.64 and 128,552

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Solution

The fourth proportional to 460,976, 691,580.64 and 128,552 is: 192,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,976 : 691,580.64 = 128,552 : x
  2. Step 2: Convert to fraction form
    460,976/691,580.64 = 128,552/x
  3. Step 3: Cross multiply
    460,976x = 691,580.64 × 128,552
  4. Step 4: Simplify right side
    460,976x = 88,904,074,433.28
  5. Step 5: Solve for x
    x = 88,904,074,433.28/460,976
  6. Step 6: Final answer
    x = 192,860.53

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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.