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Finding the Fourth Proportional to 254,360.40, 381,713.40 and 142,040.40

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Solution

The fourth proportional to 254,360.40, 381,713.40 and 142,040.40 is: 213,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,360.40 : 381,713.40 = 142,040.40 : x
  2. Step 2: Convert to fraction form
    254,360.40/381,713.40 = 142,040.40/x
  3. Step 3: Cross multiply
    254,360.40x = 381,713.40 × 142,040.40
  4. Step 4: Simplify right side
    254,360.40x = 54,218,724,021.36
  5. Step 5: Solve for x
    x = 54,218,724,021.36/254,360.40
  6. Step 6: Final answer
    x = 213,157.10

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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.