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Finding the Fourth Proportional to 254,405.80, 381,608.70 and 67,417.30

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Solution

The fourth proportional to 254,405.80, 381,608.70 and 67,417.30 is: 101,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,405.80 : 381,608.70 = 67,417.30 : x
  2. Step 2: Convert to fraction form
    254,405.80/381,608.70 = 67,417.30/x
  3. Step 3: Cross multiply
    254,405.80x = 381,608.70 × 67,417.30
  4. Step 4: Simplify right side
    254,405.80x = 25,727,028,210.51
  5. Step 5: Solve for x
    x = 25,727,028,210.51/254,405.80
  6. Step 6: Final answer
    x = 101,125.95

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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.