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Finding the Fourth Proportional to 285,184.38, 427,628.91 and 152,028.87

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Solution

The fourth proportional to 285,184.38, 427,628.91 and 152,028.87 is: 227,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,184.38 : 427,628.91 = 152,028.87 : x
  2. Step 2: Convert to fraction form
    285,184.38/427,628.91 = 152,028.87/x
  3. Step 3: Cross multiply
    285,184.38x = 427,628.91 × 152,028.87
  4. Step 4: Simplify right side
    285,184.38x = 65,011,939,966.63
  5. Step 5: Solve for x
    x = 65,011,939,966.63/285,184.38
  6. Step 6: Final answer
    x = 227,964.59

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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.