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Finding the Fourth Proportional to 515,940.68, 712,010.58 and 289,607.24

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Solution

The fourth proportional to 515,940.68, 712,010.58 and 289,607.24 is: 399,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,940.68 : 712,010.58 = 289,607.24 : x
  2. Step 2: Convert to fraction form
    515,940.68/712,010.58 = 289,607.24/x
  3. Step 3: Cross multiply
    515,940.68x = 712,010.58 × 289,607.24
  4. Step 4: Simplify right side
    515,940.68x = 206,203,418,924.60
  5. Step 5: Solve for x
    x = 206,203,418,924.60/515,940.68
  6. Step 6: Final answer
    x = 399,664.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.