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Finding the Fourth Proportional to 517,078.52, 775,618 and 162,120.20

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Solution

The fourth proportional to 517,078.52, 775,618 and 162,120.20 is: 243,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,078.52 : 775,618 = 162,120.20 : x
  2. Step 2: Convert to fraction form
    517,078.52/775,618 = 162,120.20/x
  3. Step 3: Cross multiply
    517,078.52x = 775,618 × 162,120.20
  4. Step 4: Simplify right side
    517,078.52x = 125,743,345,283.60
  5. Step 5: Solve for x
    x = 125,743,345,283.60/517,078.52
  6. Step 6: Final answer
    x = 243,180.37

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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.