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Finding the Fourth Proportional to 254,870.40, 381,844.80 and 225,379.20

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Solution

The fourth proportional to 254,870.40, 381,844.80 and 225,379.20 is: 337,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,870.40 : 381,844.80 = 225,379.20 : x
  2. Step 2: Convert to fraction form
    254,870.40/381,844.80 = 225,379.20/x
  3. Step 3: Cross multiply
    254,870.40x = 381,844.80 × 225,379.20
  4. Step 4: Simplify right side
    254,870.40x = 86,059,875,548.16
  5. Step 5: Solve for x
    x = 86,059,875,548.16/254,870.40
  6. Step 6: Final answer
    x = 337,661.32

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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.