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Finding the Fourth Proportional to 486,309, 728,964.66 and 186,708.90

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Solution

The fourth proportional to 486,309, 728,964.66 and 186,708.90 is: 279,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,309 : 728,964.66 = 186,708.90 : x
  2. Step 2: Convert to fraction form
    486,309/728,964.66 = 186,708.90/x
  3. Step 3: Cross multiply
    486,309x = 728,964.66 × 186,708.90
  4. Step 4: Simplify right side
    486,309x = 136,104,189,807.47
  5. Step 5: Solve for x
    x = 136,104,189,807.47/486,309
  6. Step 6: Final answer
    x = 279,871.83

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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.