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Finding the Fourth Proportional to 256,082.51, 384,356.14 and 129,810.60

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Solution

The fourth proportional to 256,082.51, 384,356.14 and 129,810.60 is: 194,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.51 : 384,356.14 = 129,810.60 : x
  2. Step 2: Convert to fraction form
    256,082.51/384,356.14 = 129,810.60/x
  3. Step 3: Cross multiply
    256,082.51x = 384,356.14 × 129,810.60
  4. Step 4: Simplify right side
    256,082.51x = 49,893,500,822.56
  5. Step 5: Solve for x
    x = 49,893,500,822.56/256,082.51
  6. Step 6: Final answer
    x = 194,833.69

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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.