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Finding the Fourth Proportional to 517,805.28, 776,448.17 and 301,734

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Solution

The fourth proportional to 517,805.28, 776,448.17 and 301,734 is: 452,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,805.28 : 776,448.17 = 301,734 : x
  2. Step 2: Convert to fraction form
    517,805.28/776,448.17 = 301,734/x
  3. Step 3: Cross multiply
    517,805.28x = 776,448.17 × 301,734
  4. Step 4: Simplify right side
    517,805.28x = 234,280,810,618.11
  5. Step 5: Solve for x
    x = 234,280,810,618.11/517,805.28
  6. Step 6: Final answer
    x = 452,449.64

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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.