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Finding the Fourth Proportional to 256,123.40, 384,133.90 and 123,003.40

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Solution

The fourth proportional to 256,123.40, 384,133.90 and 123,003.40 is: 184,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,123.40 : 384,133.90 = 123,003.40 : x
  2. Step 2: Convert to fraction form
    256,123.40/384,133.90 = 123,003.40/x
  3. Step 3: Cross multiply
    256,123.40x = 384,133.90 × 123,003.40
  4. Step 4: Simplify right side
    256,123.40x = 47,249,775,755.26
  5. Step 5: Solve for x
    x = 47,249,775,755.26/256,123.40
  6. Step 6: Final answer
    x = 184,480.51

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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.