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Finding the Fourth Proportional to 515,734.23, 773,600.27 and 290,992.71

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Solution

The fourth proportional to 515,734.23, 773,600.27 and 290,992.71 is: 436,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,734.23 : 773,600.27 = 290,992.71 : x
  2. Step 2: Convert to fraction form
    515,734.23/773,600.27 = 290,992.71/x
  3. Step 3: Cross multiply
    515,734.23x = 773,600.27 × 290,992.71
  4. Step 4: Simplify right side
    515,734.23x = 225,112,037,569.07
  5. Step 5: Solve for x
    x = 225,112,037,569.07/515,734.23
  6. Step 6: Final answer
    x = 436,488.46

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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.