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Finding the Fourth Proportional to 305,559.36, 457,674.72 and 186,871.68

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Solution

The fourth proportional to 305,559.36, 457,674.72 and 186,871.68 is: 279,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,559.36 : 457,674.72 = 186,871.68 : x
  2. Step 2: Convert to fraction form
    305,559.36/457,674.72 = 186,871.68/x
  3. Step 3: Cross multiply
    305,559.36x = 457,674.72 × 186,871.68
  4. Step 4: Simplify right side
    305,559.36x = 85,526,443,819.93
  5. Step 5: Solve for x
    x = 85,526,443,819.93/305,559.36
  6. Step 6: Final answer
    x = 279,901.24

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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.