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Finding the Fourth Proportional to 254,615.28, 381,920.48 and 154,803.02

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Solution

The fourth proportional to 254,615.28, 381,920.48 and 154,803.02 is: 232,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,615.28 : 381,920.48 = 154,803.02 : x
  2. Step 2: Convert to fraction form
    254,615.28/381,920.48 = 154,803.02/x
  3. Step 3: Cross multiply
    254,615.28x = 381,920.48 × 154,803.02
  4. Step 4: Simplify right side
    254,615.28x = 59,122,443,703.85
  5. Step 5: Solve for x
    x = 59,122,443,703.85/254,615.28
  6. Step 6: Final answer
    x = 232,203.05

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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.