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Finding the Fourth Proportional to 256,477.68, 384,760.56 and 114,373.44

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Solution

The fourth proportional to 256,477.68, 384,760.56 and 114,373.44 is: 171,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,477.68 : 384,760.56 = 114,373.44 : x
  2. Step 2: Convert to fraction form
    256,477.68/384,760.56 = 114,373.44/x
  3. Step 3: Cross multiply
    256,477.68x = 384,760.56 × 114,373.44
  4. Step 4: Simplify right side
    256,477.68x = 44,006,388,823.53
  5. Step 5: Solve for x
    x = 44,006,388,823.53/256,477.68
  6. Step 6: Final answer
    x = 171,579.80

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1.5x scale

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.