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Finding the Fourth Proportional to 256,574.70, 354,090.42 and 149,144.40

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Solution

The fourth proportional to 256,574.70, 354,090.42 and 149,144.40 is: 205,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,574.70 : 354,090.42 = 149,144.40 : x
  2. Step 2: Convert to fraction form
    256,574.70/354,090.42 = 149,144.40/x
  3. Step 3: Cross multiply
    256,574.70x = 354,090.42 × 149,144.40
  4. Step 4: Simplify right side
    256,574.70x = 52,810,603,236.65
  5. Step 5: Solve for x
    x = 52,810,603,236.65/256,574.70
  6. Step 6: Final answer
    x = 205,829.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.