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Finding the Fourth Proportional to 3,161,960.82, 4,742,952.45 and 765,807.06

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Solution

The fourth proportional to 3,161,960.82, 4,742,952.45 and 765,807.06 is: 1,148,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161,960.82 : 4,742,952.45 = 765,807.06 : x
  2. Step 2: Convert to fraction form
    3,161,960.82/4,742,952.45 = 765,807.06/x
  3. Step 3: Cross multiply
    3,161,960.82x = 4,742,952.45 × 765,807.06
  4. Step 4: Simplify right side
    3,161,960.82x = 3,632,186,471,454.30
  5. Step 5: Solve for x
    x = 3,632,186,471,454.30/3,161,960.82
  6. Step 6: Final answer
    x = 1,148,713.31

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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.