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Finding the Fourth Proportional to 517,209.44, 774,154.76 and 276,721.76

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Solution

The fourth proportional to 517,209.44, 774,154.76 and 276,721.76 is: 414,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,209.44 : 774,154.76 = 276,721.76 : x
  2. Step 2: Convert to fraction form
    517,209.44/774,154.76 = 276,721.76/x
  3. Step 3: Cross multiply
    517,209.44x = 774,154.76 × 276,721.76
  4. Step 4: Simplify right side
    517,209.44x = 214,225,467,699.58
  5. Step 5: Solve for x
    x = 214,225,467,699.58/517,209.44
  6. Step 6: Final answer
    x = 414,194.81

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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.