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Finding the Fourth Proportional to 256,871.84, 385,299.77 and 122,032.94

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Solution

The fourth proportional to 256,871.84, 385,299.77 and 122,032.94 is: 183,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,871.84 : 385,299.77 = 122,032.94 : x
  2. Step 2: Convert to fraction form
    256,871.84/385,299.77 = 122,032.94/x
  3. Step 3: Cross multiply
    256,871.84x = 385,299.77 × 122,032.94
  4. Step 4: Simplify right side
    256,871.84x = 47,019,264,982.76
  5. Step 5: Solve for x
    x = 47,019,264,982.76/256,871.84
  6. Step 6: Final answer
    x = 183,045.62

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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.