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Finding the Fourth Proportional to 516,137.67, 774,214.28 and 179,189.01

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Solution

The fourth proportional to 516,137.67, 774,214.28 and 179,189.01 is: 268,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,137.67 : 774,214.28 = 179,189.01 : x
  2. Step 2: Convert to fraction form
    516,137.67/774,214.28 = 179,189.01/x
  3. Step 3: Cross multiply
    516,137.67x = 774,214.28 × 179,189.01
  4. Step 4: Simplify right side
    516,137.67x = 138,730,689,465.12
  5. Step 5: Solve for x
    x = 138,730,689,465.12/516,137.67
  6. Step 6: Final answer
    x = 268,786.21

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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.