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Finding the Fourth Proportional to 285,184.37, 427,628.93 and 152,028.87

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Solution

The fourth proportional to 285,184.37, 427,628.93 and 152,028.87 is: 227,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,184.37 : 427,628.93 = 152,028.87 : x
  2. Step 2: Convert to fraction form
    285,184.37/427,628.93 = 152,028.87/x
  3. Step 3: Cross multiply
    285,184.37x = 427,628.93 × 152,028.87
  4. Step 4: Simplify right side
    285,184.37x = 65,011,942,247.06
  5. Step 5: Solve for x
    x = 65,011,942,247.06/285,184.37
  6. Step 6: Final answer
    x = 227,964.61

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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.