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Finding the Fourth Proportional to 427,986.84, 642,087 and 128,472.96

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Solution

The fourth proportional to 427,986.84, 642,087 and 128,472.96 is: 192,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,986.84 : 642,087 = 128,472.96 : x
  2. Step 2: Convert to fraction form
    427,986.84/642,087 = 128,472.96/x
  3. Step 3: Cross multiply
    427,986.84x = 642,087 × 128,472.96
  4. Step 4: Simplify right side
    427,986.84x = 82,490,817,467.52
  5. Step 5: Solve for x
    x = 82,490,817,467.52/427,986.84
  6. Step 6: Final answer
    x = 192,741.48

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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.