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Finding the Fourth Proportional to 256,642.99, 384,960.24 and 76,728.83

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Solution

The fourth proportional to 256,642.99, 384,960.24 and 76,728.83 is: 115,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,642.99 : 384,960.24 = 76,728.83 : x
  2. Step 2: Convert to fraction form
    256,642.99/384,960.24 = 76,728.83/x
  3. Step 3: Cross multiply
    256,642.99x = 384,960.24 × 76,728.83
  4. Step 4: Simplify right side
    256,642.99x = 29,537,547,103.64
  5. Step 5: Solve for x
    x = 29,537,547,103.64/256,642.99
  6. Step 6: Final answer
    x = 115,091.97

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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.