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Finding the Fourth Proportional to 427,335.84, 589,146.35 and 274,108.01

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Solution

The fourth proportional to 427,335.84, 589,146.35 and 274,108.01 is: 377,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,335.84 : 589,146.35 = 274,108.01 : x
  2. Step 2: Convert to fraction form
    427,335.84/589,146.35 = 274,108.01/x
  3. Step 3: Cross multiply
    427,335.84x = 589,146.35 × 274,108.01
  4. Step 4: Simplify right side
    427,335.84x = 161,489,729,280.99
  5. Step 5: Solve for x
    x = 161,489,729,280.99/427,335.84
  6. Step 6: Final answer
    x = 377,898.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.